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Finding the Third Proportional to 611.53 and 676.08

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Solution

The third proportional to 611.53 and 676.08 is: 747.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.53 : 676.08 = 676.08 : x
  2. Step 2: Convert to fraction form
    611.53/676.08 = 676.08/x
  3. Step 3: Cross multiply
    611.53x = 676.08 × 676.08
  4. Step 4: Simplify right side
    611.53x = 457,085.59
  5. Step 5: Solve for x
    x = 457,085.59/611.53
  6. Step 6: Final answer
    x = 747.44

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.