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Finding the Third Proportional to 186,867 and 402,165

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Solution

The third proportional to 186,867 and 402,165 is: 865,517.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,867 : 402,165 = 402,165 : x
  2. Step 2: Convert to fraction form
    186,867/402,165 = 402,165/x
  3. Step 3: Cross multiply
    186,867x = 402,165 × 402,165
  4. Step 4: Simplify right side
    186,867x = 161,736,687,225
  5. Step 5: Solve for x
    x = 161,736,687,225/186,867
  6. Step 6: Final answer
    x = 865,517.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.