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Finding the Third Proportional to 30.97 and 54.69

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Solution

The third proportional to 30.97 and 54.69 is: 96.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.97 : 54.69 = 54.69 : x
  2. Step 2: Convert to fraction form
    30.97/54.69 = 54.69/x
  3. Step 3: Cross multiply
    30.97x = 54.69 × 54.69
  4. Step 4: Simplify right side
    30.97x = 2,990.72
  5. Step 5: Solve for x
    x = 2,990.72/30.97
  6. Step 6: Final answer
    x = 96.57

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.