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Finding the Third Proportional to 425.25 and 564.38

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Solution

The third proportional to 425.25 and 564.38 is: 749.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.25 : 564.38 = 564.38 : x
  2. Step 2: Convert to fraction form
    425.25/564.38 = 564.38/x
  3. Step 3: Cross multiply
    425.25x = 564.38 × 564.38
  4. Step 4: Simplify right side
    425.25x = 318,519.14
  5. Step 5: Solve for x
    x = 318,519.14/425.25
  6. Step 6: Final answer
    x = 749.02

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.