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Finding the Third Proportional to 457,693 and 665,762

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Solution

The third proportional to 457,693 and 665,762 is: 968,419.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,693 : 665,762 = 665,762 : x
  2. Step 2: Convert to fraction form
    457,693/665,762 = 665,762/x
  3. Step 3: Cross multiply
    457,693x = 665,762 × 665,762
  4. Step 4: Simplify right side
    457,693x = 443,239,040,644
  5. Step 5: Solve for x
    x = 443,239,040,644/457,693
  6. Step 6: Final answer
    x = 968,419.97

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.