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Finding the Third Proportional to 57,641 and 87,231

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Solution

The third proportional to 57,641 and 87,231 is: 132,011.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,641 : 87,231 = 87,231 : x
  2. Step 2: Convert to fraction form
    57,641/87,231 = 87,231/x
  3. Step 3: Cross multiply
    57,641x = 87,231 × 87,231
  4. Step 4: Simplify right side
    57,641x = 7,609,247,361
  5. Step 5: Solve for x
    x = 7,609,247,361/57,641
  6. Step 6: Final answer
    x = 132,011.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.