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Finding the Third Proportional to 75.22 and 115.45

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Solution

The third proportional to 75.22 and 115.45 is: 177.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.22 : 115.45 = 115.45 : x
  2. Step 2: Convert to fraction form
    75.22/115.45 = 115.45/x
  3. Step 3: Cross multiply
    75.22x = 115.45 × 115.45
  4. Step 4: Simplify right side
    75.22x = 13,329.42
  5. Step 5: Solve for x
    x = 13,329.42/75.22
  6. Step 6: Final answer
    x = 177.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.