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Finding the Third Proportional to 443,466 and 664,515

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Solution

The third proportional to 443,466 and 664,515 is: 995,747.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,466 : 664,515 = 664,515 : x
  2. Step 2: Convert to fraction form
    443,466/664,515 = 664,515/x
  3. Step 3: Cross multiply
    443,466x = 664,515 × 664,515
  4. Step 4: Simplify right side
    443,466x = 441,580,185,225
  5. Step 5: Solve for x
    x = 441,580,185,225/443,466
  6. Step 6: Final answer
    x = 995,747.55

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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.