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Finding the Third Proportional to 542.75 and 619.25

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Solution

The third proportional to 542.75 and 619.25 is: 706.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.75 : 619.25 = 619.25 : x
  2. Step 2: Convert to fraction form
    542.75/619.25 = 619.25/x
  3. Step 3: Cross multiply
    542.75x = 619.25 × 619.25
  4. Step 4: Simplify right side
    542.75x = 383,470.56
  5. Step 5: Solve for x
    x = 383,470.56/542.75
  6. Step 6: Final answer
    x = 706.53

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.