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Finding the Third Proportional to 81,438 and 127,920

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Solution

The third proportional to 81,438 and 127,920 is: 200,932.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,438 : 127,920 = 127,920 : x
  2. Step 2: Convert to fraction form
    81,438/127,920 = 127,920/x
  3. Step 3: Cross multiply
    81,438x = 127,920 × 127,920
  4. Step 4: Simplify right side
    81,438x = 16,363,526,400
  5. Step 5: Solve for x
    x = 16,363,526,400/81,438
  6. Step 6: Final answer
    x = 200,932.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.