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Finding the Third Proportional to 57,863 and 87,767

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Solution

The third proportional to 57,863 and 87,767 is: 133,125.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,863 : 87,767 = 87,767 : x
  2. Step 2: Convert to fraction form
    57,863/87,767 = 87,767/x
  3. Step 3: Cross multiply
    57,863x = 87,767 × 87,767
  4. Step 4: Simplify right side
    57,863x = 7,703,046,289
  5. Step 5: Solve for x
    x = 7,703,046,289/57,863
  6. Step 6: Final answer
    x = 133,125.59

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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.