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Finding the Third Proportional to 83.44 and 154.78

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Solution

The third proportional to 83.44 and 154.78 is: 287.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.44 : 154.78 = 154.78 : x
  2. Step 2: Convert to fraction form
    83.44/154.78 = 154.78/x
  3. Step 3: Cross multiply
    83.44x = 154.78 × 154.78
  4. Step 4: Simplify right side
    83.44x = 23,957.24
  5. Step 5: Solve for x
    x = 23,957.24/83.44
  6. Step 6: Final answer
    x = 287.13

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.