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Finding the Third Proportional to 129,711.38 and 165,741.19

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Solution

The third proportional to 129,711.38 and 165,741.19 is: 211,778.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,711.38 : 165,741.19 = 165,741.19 : x
  2. Step 2: Convert to fraction form
    129,711.38/165,741.19 = 165,741.19/x
  3. Step 3: Cross multiply
    129,711.38x = 165,741.19 × 165,741.19
  4. Step 4: Simplify right side
    129,711.38x = 27,470,141,233.91
  5. Step 5: Solve for x
    x = 27,470,141,233.91/129,711.38
  6. Step 6: Final answer
    x = 211,778.97

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.