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Finding the Third Proportional to 81,015 and 121,251

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Solution

The third proportional to 81,015 and 121,251 is: 181,470.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,015 : 121,251 = 121,251 : x
  2. Step 2: Convert to fraction form
    81,015/121,251 = 121,251/x
  3. Step 3: Cross multiply
    81,015x = 121,251 × 121,251
  4. Step 4: Simplify right side
    81,015x = 14,701,805,001
  5. Step 5: Solve for x
    x = 14,701,805,001/81,015
  6. Step 6: Final answer
    x = 181,470.16

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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.