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Finding the Third Proportional to 77,438 and 167,877

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Solution

The third proportional to 77,438 and 167,877 is: 363,938.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,438 : 167,877 = 167,877 : x
  2. Step 2: Convert to fraction form
    77,438/167,877 = 167,877/x
  3. Step 3: Cross multiply
    77,438x = 167,877 × 167,877
  4. Step 4: Simplify right side
    77,438x = 28,182,687,129
  5. Step 5: Solve for x
    x = 28,182,687,129/77,438
  6. Step 6: Final answer
    x = 363,938.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.