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Finding the Third Proportional to 442,390.50 and 665,775

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Solution

The third proportional to 442,390.50 and 665,775 is: 1,001,957.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,390.50 : 665,775 = 665,775 : x
  2. Step 2: Convert to fraction form
    442,390.50/665,775 = 665,775/x
  3. Step 3: Cross multiply
    442,390.50x = 665,775 × 665,775
  4. Step 4: Simplify right side
    442,390.50x = 443,256,350,625
  5. Step 5: Solve for x
    x = 443,256,350,625/442,390.50
  6. Step 6: Final answer
    x = 1,001,957.21

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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.