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Finding the Third Proportional to 91,459 and 137,432

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Solution

The third proportional to 91,459 and 137,432 is: 206,513.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,459 : 137,432 = 137,432 : x
  2. Step 2: Convert to fraction form
    91,459/137,432 = 137,432/x
  3. Step 3: Cross multiply
    91,459x = 137,432 × 137,432
  4. Step 4: Simplify right side
    91,459x = 18,887,554,624
  5. Step 5: Solve for x
    x = 18,887,554,624/91,459
  6. Step 6: Final answer
    x = 206,513.90

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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.