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Finding the Third Proportional to 71,920 and 108,877

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Solution

The third proportional to 71,920 and 108,877 is: 164,824.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,920 : 108,877 = 108,877 : x
  2. Step 2: Convert to fraction form
    71,920/108,877 = 108,877/x
  3. Step 3: Cross multiply
    71,920x = 108,877 × 108,877
  4. Step 4: Simplify right side
    71,920x = 11,854,201,129
  5. Step 5: Solve for x
    x = 11,854,201,129/71,920
  6. Step 6: Final answer
    x = 164,824.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.