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Finding the Third Proportional to 547.07 and 628.07

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Solution

The third proportional to 547.07 and 628.07 is: 721.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.07 : 628.07 = 628.07 : x
  2. Step 2: Convert to fraction form
    547.07/628.07 = 628.07/x
  3. Step 3: Cross multiply
    547.07x = 628.07 × 628.07
  4. Step 4: Simplify right side
    547.07x = 394,467.41
  5. Step 5: Solve for x
    x = 394,467.41/547.07
  6. Step 6: Final answer
    x = 721.06

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.