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Finding the Third Proportional to 75.75 and 114.38

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Solution

The third proportional to 75.75 and 114.38 is: 172.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.75 : 114.38 = 114.38 : x
  2. Step 2: Convert to fraction form
    75.75/114.38 = 114.38/x
  3. Step 3: Cross multiply
    75.75x = 114.38 × 114.38
  4. Step 4: Simplify right side
    75.75x = 13,081.64
  5. Step 5: Solve for x
    x = 13,081.64/75.75
  6. Step 6: Final answer
    x = 172.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.