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Finding the Third Proportional to 480.12 and 648.68

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Solution

The third proportional to 480.12 and 648.68 is: 876.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.12 : 648.68 = 648.68 : x
  2. Step 2: Convert to fraction form
    480.12/648.68 = 648.68/x
  3. Step 3: Cross multiply
    480.12x = 648.68 × 648.68
  4. Step 4: Simplify right side
    480.12x = 420,781.54
  5. Step 5: Solve for x
    x = 420,781.54/480.12
  6. Step 6: Final answer
    x = 876.41

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.