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Finding the Third Proportional to 114.88 and 155.19

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Solution

The third proportional to 114.88 and 155.19 is: 209.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.88 : 155.19 = 155.19 : x
  2. Step 2: Convert to fraction form
    114.88/155.19 = 155.19/x
  3. Step 3: Cross multiply
    114.88x = 155.19 × 155.19
  4. Step 4: Simplify right side
    114.88x = 24,083.16
  5. Step 5: Solve for x
    x = 24,083.16/114.88
  6. Step 6: Final answer
    x = 209.65

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.