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Finding the Third Proportional to 57,239 and 87,567

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Solution

The third proportional to 57,239 and 87,567 is: 133,964.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,239 : 87,567 = 87,567 : x
  2. Step 2: Convert to fraction form
    57,239/87,567 = 87,567/x
  3. Step 3: Cross multiply
    57,239x = 87,567 × 87,567
  4. Step 4: Simplify right side
    57,239x = 7,667,979,489
  5. Step 5: Solve for x
    x = 7,667,979,489/57,239
  6. Step 6: Final answer
    x = 133,964.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.