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Finding the Third Proportional to 658.88 and 778.88

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Solution

The third proportional to 658.88 and 778.88 is: 920.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.88 : 778.88 = 778.88 : x
  2. Step 2: Convert to fraction form
    658.88/778.88 = 778.88/x
  3. Step 3: Cross multiply
    658.88x = 778.88 × 778.88
  4. Step 4: Simplify right side
    658.88x = 606,646.27
  5. Step 5: Solve for x
    x = 606,646.27/658.88
  6. Step 6: Final answer
    x = 920.73

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.