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Finding the Third Proportional to 671.81 and 759.56

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Solution

The third proportional to 671.81 and 759.56 is: 858.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.81 : 759.56 = 759.56 : x
  2. Step 2: Convert to fraction form
    671.81/759.56 = 759.56/x
  3. Step 3: Cross multiply
    671.81x = 759.56 × 759.56
  4. Step 4: Simplify right side
    671.81x = 576,935.19
  5. Step 5: Solve for x
    x = 576,935.19/671.81
  6. Step 6: Final answer
    x = 858.77

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.