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Finding the Third Proportional to 454.92 and 679.43

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Solution

The third proportional to 454.92 and 679.43 is: 1,014.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.92 : 679.43 = 679.43 : x
  2. Step 2: Convert to fraction form
    454.92/679.43 = 679.43/x
  3. Step 3: Cross multiply
    454.92x = 679.43 × 679.43
  4. Step 4: Simplify right side
    454.92x = 461,624.70
  5. Step 5: Solve for x
    x = 461,624.70/454.92
  6. Step 6: Final answer
    x = 1,014.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.