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Finding the Third Proportional to 92,540 and 125,405

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Solution

The third proportional to 92,540 and 125,405 is: 169,941.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,540 : 125,405 = 125,405 : x
  2. Step 2: Convert to fraction form
    92,540/125,405 = 125,405/x
  3. Step 3: Cross multiply
    92,540x = 125,405 × 125,405
  4. Step 4: Simplify right side
    92,540x = 15,726,414,025
  5. Step 5: Solve for x
    x = 15,726,414,025/92,540
  6. Step 6: Final answer
    x = 169,941.80

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.