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Finding the Third Proportional to 81,221.50 and 127,441.50

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Solution

The third proportional to 81,221.50 and 127,441.50 is: 199,963.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,221.50 : 127,441.50 = 127,441.50 : x
  2. Step 2: Convert to fraction form
    81,221.50/127,441.50 = 127,441.50/x
  3. Step 3: Cross multiply
    81,221.50x = 127,441.50 × 127,441.50
  4. Step 4: Simplify right side
    81,221.50x = 16,241,335,922.25
  5. Step 5: Solve for x
    x = 16,241,335,922.25/81,221.50
  6. Step 6: Final answer
    x = 199,963.51

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.