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Finding the Third Proportional to 30.85 and 67.39

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Solution

The third proportional to 30.85 and 67.39 is: 147.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.85 : 67.39 = 67.39 : x
  2. Step 2: Convert to fraction form
    30.85/67.39 = 67.39/x
  3. Step 3: Cross multiply
    30.85x = 67.39 × 67.39
  4. Step 4: Simplify right side
    30.85x = 4,542.02
  5. Step 5: Solve for x
    x = 4,542.02/30.85
  6. Step 6: Final answer
    x = 147.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.