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Finding the Third Proportional to 81,509 and 125,432

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Solution

The third proportional to 81,509 and 125,432 is: 193,023.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,509 : 125,432 = 125,432 : x
  2. Step 2: Convert to fraction form
    81,509/125,432 = 125,432/x
  3. Step 3: Cross multiply
    81,509x = 125,432 × 125,432
  4. Step 4: Simplify right side
    81,509x = 15,733,186,624
  5. Step 5: Solve for x
    x = 15,733,186,624/81,509
  6. Step 6: Final answer
    x = 193,023.92

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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.