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Finding the Third Proportional to 42.80 and 68.49

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Solution

The third proportional to 42.80 and 68.49 is: 109.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.80 : 68.49 = 68.49 : x
  2. Step 2: Convert to fraction form
    42.80/68.49 = 68.49/x
  3. Step 3: Cross multiply
    42.80x = 68.49 × 68.49
  4. Step 4: Simplify right side
    42.80x = 4,690.42
  5. Step 5: Solve for x
    x = 4,690.42/42.80
  6. Step 6: Final answer
    x = 109.58

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.