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Finding the Third Proportional to 548.44 and 814.56

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Solution

The third proportional to 548.44 and 814.56 is: 1,209.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.44 : 814.56 = 814.56 : x
  2. Step 2: Convert to fraction form
    548.44/814.56 = 814.56/x
  3. Step 3: Cross multiply
    548.44x = 814.56 × 814.56
  4. Step 4: Simplify right side
    548.44x = 663,512.07
  5. Step 5: Solve for x
    x = 663,512.07/548.44
  6. Step 6: Final answer
    x = 1,209.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.