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Finding the Third Proportional to 30.69 and 40.97

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Solution

The third proportional to 30.69 and 40.97 is: 54.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.69 : 40.97 = 40.97 : x
  2. Step 2: Convert to fraction form
    30.69/40.97 = 40.97/x
  3. Step 3: Cross multiply
    30.69x = 40.97 × 40.97
  4. Step 4: Simplify right side
    30.69x = 1,678.92
  5. Step 5: Solve for x
    x = 1,678.92/30.69
  6. Step 6: Final answer
    x = 54.70

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.