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Finding the Third Proportional to 54.19 and 69.89

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Solution

The third proportional to 54.19 and 69.89 is: 90.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.19 : 69.89 = 69.89 : x
  2. Step 2: Convert to fraction form
    54.19/69.89 = 69.89/x
  3. Step 3: Cross multiply
    54.19x = 69.89 × 69.89
  4. Step 4: Simplify right side
    54.19x = 4,884.70
  5. Step 5: Solve for x
    x = 4,884.70/54.19
  6. Step 6: Final answer
    x = 90.14

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.