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Finding the Third Proportional to 81,474.75 and 121,016.25

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Solution

The third proportional to 81,474.75 and 121,016.25 is: 179,748.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,474.75 : 121,016.25 = 121,016.25 : x
  2. Step 2: Convert to fraction form
    81,474.75/121,016.25 = 121,016.25/x
  3. Step 3: Cross multiply
    81,474.75x = 121,016.25 × 121,016.25
  4. Step 4: Simplify right side
    81,474.75x = 14,644,932,764.06
  5. Step 5: Solve for x
    x = 14,644,932,764.06/81,474.75
  6. Step 6: Final answer
    x = 179,748.12

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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.