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Finding the Third Proportional to 81,452 and 131,432

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Solution

The third proportional to 81,452 and 131,432 is: 212,080.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,452 : 131,432 = 131,432 : x
  2. Step 2: Convert to fraction form
    81,452/131,432 = 131,432/x
  3. Step 3: Cross multiply
    81,452x = 131,432 × 131,432
  4. Step 4: Simplify right side
    81,452x = 17,274,370,624
  5. Step 5: Solve for x
    x = 17,274,370,624/81,452
  6. Step 6: Final answer
    x = 212,080.37

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.