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Finding the Third Proportional to 547.13 and 818.56

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Solution

The third proportional to 547.13 and 818.56 is: 1,224.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.13 : 818.56 = 818.56 : x
  2. Step 2: Convert to fraction form
    547.13/818.56 = 818.56/x
  3. Step 3: Cross multiply
    547.13x = 818.56 × 818.56
  4. Step 4: Simplify right side
    547.13x = 670,044.57
  5. Step 5: Solve for x
    x = 670,044.57/547.13
  6. Step 6: Final answer
    x = 1,224.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.