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Finding the Third Proportional to 87,134 and 129,082

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Solution

The third proportional to 87,134 and 129,082 is: 191,224.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,134 : 129,082 = 129,082 : x
  2. Step 2: Convert to fraction form
    87,134/129,082 = 129,082/x
  3. Step 3: Cross multiply
    87,134x = 129,082 × 129,082
  4. Step 4: Simplify right side
    87,134x = 16,662,162,724
  5. Step 5: Solve for x
    x = 16,662,162,724/87,134
  6. Step 6: Final answer
    x = 191,224.58

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.