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Finding the Third Proportional to 33,988 and 74,120

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Solution

The third proportional to 33,988 and 74,120 is: 161,638.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,988 : 74,120 = 74,120 : x
  2. Step 2: Convert to fraction form
    33,988/74,120 = 74,120/x
  3. Step 3: Cross multiply
    33,988x = 74,120 × 74,120
  4. Step 4: Simplify right side
    33,988x = 5,493,774,400
  5. Step 5: Solve for x
    x = 5,493,774,400/33,988
  6. Step 6: Final answer
    x = 161,638.65

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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.