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Finding the Third Proportional to 117.19 and 179.81

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Solution

The third proportional to 117.19 and 179.81 is: 275.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.19 : 179.81 = 179.81 : x
  2. Step 2: Convert to fraction form
    117.19/179.81 = 179.81/x
  3. Step 3: Cross multiply
    117.19x = 179.81 × 179.81
  4. Step 4: Simplify right side
    117.19x = 32,332.54
  5. Step 5: Solve for x
    x = 32,332.54/117.19
  6. Step 6: Final answer
    x = 275.90

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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.