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Finding the Third Proportional to 75.84 and 114.14

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Solution

The third proportional to 75.84 and 114.14 is: 171.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.84 : 114.14 = 114.14 : x
  2. Step 2: Convert to fraction form
    75.84/114.14 = 114.14/x
  3. Step 3: Cross multiply
    75.84x = 114.14 × 114.14
  4. Step 4: Simplify right side
    75.84x = 13,028.08
  5. Step 5: Solve for x
    x = 13,028.08/75.84
  6. Step 6: Final answer
    x = 171.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.