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Finding the Third Proportional to 546.75 and 781.31

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Solution

The third proportional to 546.75 and 781.31 is: 1,116.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.75 : 781.31 = 781.31 : x
  2. Step 2: Convert to fraction form
    546.75/781.31 = 781.31/x
  3. Step 3: Cross multiply
    546.75x = 781.31 × 781.31
  4. Step 4: Simplify right side
    546.75x = 610,449.22
  5. Step 5: Solve for x
    x = 610,449.22/546.75
  6. Step 6: Final answer
    x = 1,116.51

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.