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Finding the Third Proportional to 442,800 and 664,656

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Solution

The third proportional to 442,800 and 664,656 is: 997,668.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,800 : 664,656 = 664,656 : x
  2. Step 2: Convert to fraction form
    442,800/664,656 = 664,656/x
  3. Step 3: Cross multiply
    442,800x = 664,656 × 664,656
  4. Step 4: Simplify right side
    442,800x = 441,767,598,336
  5. Step 5: Solve for x
    x = 441,767,598,336/442,800
  6. Step 6: Final answer
    x = 997,668.47

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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.