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Finding the Third Proportional to 415,678 and 625,364

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Solution

The third proportional to 415,678 and 625,364 is: 940,824.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,678 : 625,364 = 625,364 : x
  2. Step 2: Convert to fraction form
    415,678/625,364 = 625,364/x
  3. Step 3: Cross multiply
    415,678x = 625,364 × 625,364
  4. Step 4: Simplify right side
    415,678x = 391,080,132,496
  5. Step 5: Solve for x
    x = 391,080,132,496/415,678
  6. Step 6: Final answer
    x = 940,824.71

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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.