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Finding the Third Proportional to 33,988 and 79,972

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Solution

The third proportional to 33,988 and 79,972 is: 188,169.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,988 : 79,972 = 79,972 : x
  2. Step 2: Convert to fraction form
    33,988/79,972 = 79,972/x
  3. Step 3: Cross multiply
    33,988x = 79,972 × 79,972
  4. Step 4: Simplify right side
    33,988x = 6,395,520,784
  5. Step 5: Solve for x
    x = 6,395,520,784/33,988
  6. Step 6: Final answer
    x = 188,169.97

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.