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Finding the Third Proportional to 442,648 and 664,412

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Solution

The third proportional to 442,648 and 664,412 is: 997,278.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,648 : 664,412 = 664,412 : x
  2. Step 2: Convert to fraction form
    442,648/664,412 = 664,412/x
  3. Step 3: Cross multiply
    442,648x = 664,412 × 664,412
  4. Step 4: Simplify right side
    442,648x = 441,443,305,744
  5. Step 5: Solve for x
    x = 441,443,305,744/442,648
  6. Step 6: Final answer
    x = 997,278.44

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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.