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Finding the Third Proportional to 425.88 and 542.75

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Solution

The third proportional to 425.88 and 542.75 is: 691.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.88 : 542.75 = 542.75 : x
  2. Step 2: Convert to fraction form
    425.88/542.75 = 542.75/x
  3. Step 3: Cross multiply
    425.88x = 542.75 × 542.75
  4. Step 4: Simplify right side
    425.88x = 294,577.56
  5. Step 5: Solve for x
    x = 294,577.56/425.88
  6. Step 6: Final answer
    x = 691.70

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.