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Finding the Third Proportional to 75.69 and 117.13

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Solution

The third proportional to 75.69 and 117.13 is: 181.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.69 : 117.13 = 117.13 : x
  2. Step 2: Convert to fraction form
    75.69/117.13 = 117.13/x
  3. Step 3: Cross multiply
    75.69x = 117.13 × 117.13
  4. Step 4: Simplify right side
    75.69x = 13,719.93
  5. Step 5: Solve for x
    x = 13,719.93/75.69
  6. Step 6: Final answer
    x = 181.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.