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Finding the Third Proportional to 186,474 and 402,432

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Solution

The third proportional to 186,474 and 402,432 is: 868,493.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,474 : 402,432 = 402,432 : x
  2. Step 2: Convert to fraction form
    186,474/402,432 = 402,432/x
  3. Step 3: Cross multiply
    186,474x = 402,432 × 402,432
  4. Step 4: Simplify right side
    186,474x = 161,951,514,624
  5. Step 5: Solve for x
    x = 161,951,514,624/186,474
  6. Step 6: Final answer
    x = 868,493.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.