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Finding the Third Proportional to 442,728 and 664,416

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Solution

The third proportional to 442,728 and 664,416 is: 997,110.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,728 : 664,416 = 664,416 : x
  2. Step 2: Convert to fraction form
    442,728/664,416 = 664,416/x
  3. Step 3: Cross multiply
    442,728x = 664,416 × 664,416
  4. Step 4: Simplify right side
    442,728x = 441,448,621,056
  5. Step 5: Solve for x
    x = 441,448,621,056/442,728
  6. Step 6: Final answer
    x = 997,110.24

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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.