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Finding the Third Proportional to 81,729 and 127,332

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Solution

The third proportional to 81,729 and 127,332 is: 198,380.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,729 : 127,332 = 127,332 : x
  2. Step 2: Convert to fraction form
    81,729/127,332 = 127,332/x
  3. Step 3: Cross multiply
    81,729x = 127,332 × 127,332
  4. Step 4: Simplify right side
    81,729x = 16,213,438,224
  5. Step 5: Solve for x
    x = 16,213,438,224/81,729
  6. Step 6: Final answer
    x = 198,380.48

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.