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Finding the Third Proportional to 658.48 and 880.80

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Solution

The third proportional to 658.48 and 880.80 is: 1,178.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.48 : 880.80 = 880.80 : x
  2. Step 2: Convert to fraction form
    658.48/880.80 = 880.80/x
  3. Step 3: Cross multiply
    658.48x = 880.80 × 880.80
  4. Step 4: Simplify right side
    658.48x = 775,816.90
  5. Step 5: Solve for x
    x = 775,816.90/658.48
  6. Step 6: Final answer
    x = 1,178.20

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.