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Finding the Third Proportional to 100.78 and 155.11

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Solution

The third proportional to 100.78 and 155.11 is: 238.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.78 : 155.11 = 155.11 : x
  2. Step 2: Convert to fraction form
    100.78/155.11 = 155.11/x
  3. Step 3: Cross multiply
    100.78x = 155.11 × 155.11
  4. Step 4: Simplify right side
    100.78x = 24,058.92
  5. Step 5: Solve for x
    x = 24,058.92/100.78
  6. Step 6: Final answer
    x = 238.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.