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Finding the Third Proportional to 33,990 and 74,074

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Solution

The third proportional to 33,990 and 74,074 is: 161,428.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,990 : 74,074 = 74,074 : x
  2. Step 2: Convert to fraction form
    33,990/74,074 = 74,074/x
  3. Step 3: Cross multiply
    33,990x = 74,074 × 74,074
  4. Step 4: Simplify right side
    33,990x = 5,486,957,476
  5. Step 5: Solve for x
    x = 5,486,957,476/33,990
  6. Step 6: Final answer
    x = 161,428.58

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1.5x scale

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.