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Finding the Third Proportional to 442,752.50 and 664,225

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Solution

The third proportional to 442,752.50 and 664,225 is: 996,481.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,752.50 : 664,225 = 664,225 : x
  2. Step 2: Convert to fraction form
    442,752.50/664,225 = 664,225/x
  3. Step 3: Cross multiply
    442,752.50x = 664,225 × 664,225
  4. Step 4: Simplify right side
    442,752.50x = 441,194,850,625
  5. Step 5: Solve for x
    x = 441,194,850,625/442,752.50
  6. Step 6: Final answer
    x = 996,481.90

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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.