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Finding the Third Proportional to 442,376 and 663,564

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Solution

The third proportional to 442,376 and 663,564 is: 995,346

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,376 : 663,564 = 663,564 : x
  2. Step 2: Convert to fraction form
    442,376/663,564 = 663,564/x
  3. Step 3: Cross multiply
    442,376x = 663,564 × 663,564
  4. Step 4: Simplify right side
    442,376x = 440,317,182,096
  5. Step 5: Solve for x
    x = 440,317,182,096/442,376
  6. Step 6: Final answer
    x = 995,346

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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.