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Finding the Third Proportional to 451,683 and 665,049

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Solution

The third proportional to 451,683 and 665,049 is: 979,204.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,683 : 665,049 = 665,049 : x
  2. Step 2: Convert to fraction form
    451,683/665,049 = 665,049/x
  3. Step 3: Cross multiply
    451,683x = 665,049 × 665,049
  4. Step 4: Simplify right side
    451,683x = 442,290,172,401
  5. Step 5: Solve for x
    x = 442,290,172,401/451,683
  6. Step 6: Final answer
    x = 979,204.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.