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Finding the Third Proportional to 102,335,568.75 and 222,601,348.13

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Solution

The third proportional to 102,335,568.75 and 222,601,348.13 is: 484,204,668.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,335,568.75 : 222,601,348.13 = 222,601,348.13 : x
  2. Step 2: Convert to fraction form
    102,335,568.75/222,601,348.13 = 222,601,348.13/x
  3. Step 3: Cross multiply
    102,335,568.75x = 222,601,348.13 × 222,601,348.13
  4. Step 4: Simplify right side
    102,335,568.75x = 49,551,360,187,067,440
  5. Step 5: Solve for x
    x = 49,551,360,187,067,440/102,335,568.75
  6. Step 6: Final answer
    x = 484,204,668.94

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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.