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Finding the Third Proportional to 100.84 and 155.20

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Solution

The third proportional to 100.84 and 155.20 is: 238.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.84 : 155.20 = 155.20 : x
  2. Step 2: Convert to fraction form
    100.84/155.20 = 155.20/x
  3. Step 3: Cross multiply
    100.84x = 155.20 × 155.20
  4. Step 4: Simplify right side
    100.84x = 24,088.01
  5. Step 5: Solve for x
    x = 24,088.01/100.84
  6. Step 6: Final answer
    x = 238.86

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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.