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Finding the Third Proportional to 81,288 and 121,320

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Solution

The third proportional to 81,288 and 121,320 is: 181,066.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,288 : 121,320 = 121,320 : x
  2. Step 2: Convert to fraction form
    81,288/121,320 = 121,320/x
  3. Step 3: Cross multiply
    81,288x = 121,320 × 121,320
  4. Step 4: Simplify right side
    81,288x = 14,718,542,400
  5. Step 5: Solve for x
    x = 14,718,542,400/81,288
  6. Step 6: Final answer
    x = 181,066.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.