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Finding the Third Proportional to 408,802,261.50 and 613,053,309.38

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Solution

The third proportional to 408,802,261.50 and 613,053,309.38 is: 919,354,894.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,802,261.50 : 613,053,309.38 = 613,053,309.38 : x
  2. Step 2: Convert to fraction form
    408,802,261.50/613,053,309.38 = 613,053,309.38/x
  3. Step 3: Cross multiply
    408,802,261.50x = 613,053,309.38 × 613,053,309.38
  4. Step 4: Simplify right side
    408,802,261.50x = 375,834,360,135,639,488
  5. Step 5: Solve for x
    x = 375,834,360,135,639,488/408,802,261.50
  6. Step 6: Final answer
    x = 919,354,894.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.