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Finding the Third Proportional to 81,144.75 and 175,249.50

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Solution

The third proportional to 81,144.75 and 175,249.50 is: 378,488.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,144.75 : 175,249.50 = 175,249.50 : x
  2. Step 2: Convert to fraction form
    81,144.75/175,249.50 = 175,249.50/x
  3. Step 3: Cross multiply
    81,144.75x = 175,249.50 × 175,249.50
  4. Step 4: Simplify right side
    81,144.75x = 30,712,387,250.25
  5. Step 5: Solve for x
    x = 30,712,387,250.25/81,144.75
  6. Step 6: Final answer
    x = 378,488.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.