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Finding the Third Proportional to 62,699 and 87,877

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Solution

The third proportional to 62,699 and 87,877 is: 123,165.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,699 : 87,877 = 87,877 : x
  2. Step 2: Convert to fraction form
    62,699/87,877 = 87,877/x
  3. Step 3: Cross multiply
    62,699x = 87,877 × 87,877
  4. Step 4: Simplify right side
    62,699x = 7,722,367,129
  5. Step 5: Solve for x
    x = 7,722,367,129/62,699
  6. Step 6: Final answer
    x = 123,165.71

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.