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Finding the Third Proportional to 186,497 and 402,478

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Solution

The third proportional to 186,497 and 402,478 is: 868,585.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,497 : 402,478 = 402,478 : x
  2. Step 2: Convert to fraction form
    186,497/402,478 = 402,478/x
  3. Step 3: Cross multiply
    186,497x = 402,478 × 402,478
  4. Step 4: Simplify right side
    186,497x = 161,988,540,484
  5. Step 5: Solve for x
    x = 161,988,540,484/186,497
  6. Step 6: Final answer
    x = 868,585.23

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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.