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Finding the Third Proportional to 442,044 and 665,649

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Solution

The third proportional to 442,044 and 665,649 is: 1,002,363.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,044 : 665,649 = 665,649 : x
  2. Step 2: Convert to fraction form
    442,044/665,649 = 665,649/x
  3. Step 3: Cross multiply
    442,044x = 665,649 × 665,649
  4. Step 4: Simplify right side
    442,044x = 443,088,591,201
  5. Step 5: Solve for x
    x = 443,088,591,201/442,044
  6. Step 6: Final answer
    x = 1,002,363.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.