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Finding the Third Proportional to 81,132 and 121,356

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Solution

The third proportional to 81,132 and 121,356 is: 181,522.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,132 : 121,356 = 121,356 : x
  2. Step 2: Convert to fraction form
    81,132/121,356 = 121,356/x
  3. Step 3: Cross multiply
    81,132x = 121,356 × 121,356
  4. Step 4: Simplify right side
    81,132x = 14,727,278,736
  5. Step 5: Solve for x
    x = 14,727,278,736/81,132
  6. Step 6: Final answer
    x = 181,522.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.