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Finding the Third Proportional to 514.88 and 781.13

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Solution

The third proportional to 514.88 and 781.13 is: 1,185.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.88 : 781.13 = 781.13 : x
  2. Step 2: Convert to fraction form
    514.88/781.13 = 781.13/x
  3. Step 3: Cross multiply
    514.88x = 781.13 × 781.13
  4. Step 4: Simplify right side
    514.88x = 610,156.27
  5. Step 5: Solve for x
    x = 610,156.27/514.88
  6. Step 6: Final answer
    x = 1,185.06

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.