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Finding the Third Proportional to 479,411,241,850.50 and 1,043,218,195,908

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Solution

The third proportional to 479,411,241,850.50 and 1,043,218,195,908 is: 2,270,084,865,078.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,411,241,850.50 : 1,043,218,195,908 = 1,043,218,195,908 : x
  2. Step 2: Convert to fraction form
    479,411,241,850.50/1,043,218,195,908 = 1,043,218,195,908/x
  3. Step 3: Cross multiply
    479,411,241,850.50x = 1,043,218,195,908 × 1,043,218,195,908
  4. Step 4: Simplify right side
    479,411,241,850.50x = 1,088,304,204,273,542,223,626,240
  5. Step 5: Solve for x
    x = 1,088,304,204,273,542,223,626,240/479,411,241,850.50
  6. Step 6: Final answer
    x = 2,270,084,865,078.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.