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Finding the Third Proportional to 172,940 and 267,082

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Solution

The third proportional to 172,940 and 267,082 is: 412,471.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,940 : 267,082 = 267,082 : x
  2. Step 2: Convert to fraction form
    172,940/267,082 = 267,082/x
  3. Step 3: Cross multiply
    172,940x = 267,082 × 267,082
  4. Step 4: Simplify right side
    172,940x = 71,332,794,724
  5. Step 5: Solve for x
    x = 71,332,794,724/172,940
  6. Step 6: Final answer
    x = 412,471.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.