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Finding the Third Proportional to 57,231 and 87,017

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Solution

The third proportional to 57,231 and 87,017 is: 132,305.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,231 : 87,017 = 87,017 : x
  2. Step 2: Convert to fraction form
    57,231/87,017 = 87,017/x
  3. Step 3: Cross multiply
    57,231x = 87,017 × 87,017
  4. Step 4: Simplify right side
    57,231x = 7,571,958,289
  5. Step 5: Solve for x
    x = 7,571,958,289/57,231
  6. Step 6: Final answer
    x = 132,305.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.