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Finding the Third Proportional to 442,675.50 and 664,005

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Solution

The third proportional to 442,675.50 and 664,005 is: 995,995.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,675.50 : 664,005 = 664,005 : x
  2. Step 2: Convert to fraction form
    442,675.50/664,005 = 664,005/x
  3. Step 3: Cross multiply
    442,675.50x = 664,005 × 664,005
  4. Step 4: Simplify right side
    442,675.50x = 440,902,640,025
  5. Step 5: Solve for x
    x = 440,902,640,025/442,675.50
  6. Step 6: Final answer
    x = 995,995.13

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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.