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Finding the Third Proportional to 75.30 and 114.22

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Solution

The third proportional to 75.30 and 114.22 is: 173.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.30 : 114.22 = 114.22 : x
  2. Step 2: Convert to fraction form
    75.30/114.22 = 114.22/x
  3. Step 3: Cross multiply
    75.30x = 114.22 × 114.22
  4. Step 4: Simplify right side
    75.30x = 13,046.82
  5. Step 5: Solve for x
    x = 13,046.82/75.30
  6. Step 6: Final answer
    x = 173.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.