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Finding the Third Proportional to 415,857 and 626,742

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Solution

The third proportional to 415,857 and 626,742 is: 944,568.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,857 : 626,742 = 626,742 : x
  2. Step 2: Convert to fraction form
    415,857/626,742 = 626,742/x
  3. Step 3: Cross multiply
    415,857x = 626,742 × 626,742
  4. Step 4: Simplify right side
    415,857x = 392,805,534,564
  5. Step 5: Solve for x
    x = 392,805,534,564/415,857
  6. Step 6: Final answer
    x = 944,568.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.