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Finding the Third Proportional to 488.25 and 781.88

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Solution

The third proportional to 488.25 and 781.88 is: 1,252.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.25 : 781.88 = 781.88 : x
  2. Step 2: Convert to fraction form
    488.25/781.88 = 781.88/x
  3. Step 3: Cross multiply
    488.25x = 781.88 × 781.88
  4. Step 4: Simplify right side
    488.25x = 611,328.52
  5. Step 5: Solve for x
    x = 611,328.52/488.25
  6. Step 6: Final answer
    x = 1,252.08

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.