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Finding the Third Proportional to 427.01 and 658.48

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Solution

The third proportional to 427.01 and 658.48 is: 1,015.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.01 : 658.48 = 658.48 : x
  2. Step 2: Convert to fraction form
    427.01/658.48 = 658.48/x
  3. Step 3: Cross multiply
    427.01x = 658.48 × 658.48
  4. Step 4: Simplify right side
    427.01x = 433,591.38
  5. Step 5: Solve for x
    x = 433,591.38/427.01
  6. Step 6: Final answer
    x = 1,015.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.