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Finding the Third Proportional to 44.91 and 69.38

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Solution

The third proportional to 44.91 and 69.38 is: 107.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.91 : 69.38 = 69.38 : x
  2. Step 2: Convert to fraction form
    44.91/69.38 = 69.38/x
  3. Step 3: Cross multiply
    44.91x = 69.38 × 69.38
  4. Step 4: Simplify right side
    44.91x = 4,812.89
  5. Step 5: Solve for x
    x = 4,812.89/44.91
  6. Step 6: Final answer
    x = 107.18

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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.