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Finding the Third Proportional to 442,969 and 664,315

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Solution

The third proportional to 442,969 and 664,315 is: 996,264.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,969 : 664,315 = 664,315 : x
  2. Step 2: Convert to fraction form
    442,969/664,315 = 664,315/x
  3. Step 3: Cross multiply
    442,969x = 664,315 × 664,315
  4. Step 4: Simplify right side
    442,969x = 441,314,419,225
  5. Step 5: Solve for x
    x = 441,314,419,225/442,969
  6. Step 6: Final answer
    x = 996,264.79

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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.