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Finding the Third Proportional to 481.75 and 781.88

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Solution

The third proportional to 481.75 and 781.88 is: 1,268.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.75 : 781.88 = 781.88 : x
  2. Step 2: Convert to fraction form
    481.75/781.88 = 781.88/x
  3. Step 3: Cross multiply
    481.75x = 781.88 × 781.88
  4. Step 4: Simplify right side
    481.75x = 611,328.52
  5. Step 5: Solve for x
    x = 611,328.52/481.75
  6. Step 6: Final answer
    x = 1,268.97

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.