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Finding the Third Proportional to 33,842 and 74,432

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Solution

The third proportional to 33,842 and 74,432 is: 163,705.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,842 : 74,432 = 74,432 : x
  2. Step 2: Convert to fraction form
    33,842/74,432 = 74,432/x
  3. Step 3: Cross multiply
    33,842x = 74,432 × 74,432
  4. Step 4: Simplify right side
    33,842x = 5,540,122,624
  5. Step 5: Solve for x
    x = 5,540,122,624/33,842
  6. Step 6: Final answer
    x = 163,705.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.