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Finding the Third Proportional to 33,920 and 74,320

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Solution

The third proportional to 33,920 and 74,320 is: 162,837.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,920 : 74,320 = 74,320 : x
  2. Step 2: Convert to fraction form
    33,920/74,320 = 74,320/x
  3. Step 3: Cross multiply
    33,920x = 74,320 × 74,320
  4. Step 4: Simplify right side
    33,920x = 5,523,462,400
  5. Step 5: Solve for x
    x = 5,523,462,400/33,920
  6. Step 6: Final answer
    x = 162,837.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.