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Finding the Third Proportional to 186,715.13 and 280,209.38

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Solution

The third proportional to 186,715.13 and 280,209.38 is: 420,519.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,715.13 : 280,209.38 = 280,209.38 : x
  2. Step 2: Convert to fraction form
    186,715.13/280,209.38 = 280,209.38/x
  3. Step 3: Cross multiply
    186,715.13x = 280,209.38 × 280,209.38
  4. Step 4: Simplify right side
    186,715.13x = 78,517,293,837.89
  5. Step 5: Solve for x
    x = 78,517,293,837.89/186,715.13
  6. Step 6: Final answer
    x = 420,519.19

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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.