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Finding the Third Proportional to 81,267.75 and 195,778.25

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Solution

The third proportional to 81,267.75 and 195,778.25 is: 471,640.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,267.75 : 195,778.25 = 195,778.25 : x
  2. Step 2: Convert to fraction form
    81,267.75/195,778.25 = 195,778.25/x
  3. Step 3: Cross multiply
    81,267.75x = 195,778.25 × 195,778.25
  4. Step 4: Simplify right side
    81,267.75x = 38,329,123,173.06
  5. Step 5: Solve for x
    x = 38,329,123,173.06/81,267.75
  6. Step 6: Final answer
    x = 471,640.02

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.