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Finding the Third Proportional to 45.38 and 69.25

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Solution

The third proportional to 45.38 and 69.25 is: 105.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.38 : 69.25 = 69.25 : x
  2. Step 2: Convert to fraction form
    45.38/69.25 = 69.25/x
  3. Step 3: Cross multiply
    45.38x = 69.25 × 69.25
  4. Step 4: Simplify right side
    45.38x = 4,795.56
  5. Step 5: Solve for x
    x = 4,795.56/45.38
  6. Step 6: Final answer
    x = 105.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.