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Finding the Third Proportional to 671.06 and 738.56

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Solution

The third proportional to 671.06 and 738.56 is: 812.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.06 : 738.56 = 738.56 : x
  2. Step 2: Convert to fraction form
    671.06/738.56 = 738.56/x
  3. Step 3: Cross multiply
    671.06x = 738.56 × 738.56
  4. Step 4: Simplify right side
    671.06x = 545,474.57
  5. Step 5: Solve for x
    x = 545,474.57/671.06
  6. Step 6: Final answer
    x = 812.85

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.