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Finding the Third Proportional to 117.47 and 177.69

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Solution

The third proportional to 117.47 and 177.69 is: 268.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.47 : 177.69 = 177.69 : x
  2. Step 2: Convert to fraction form
    117.47/177.69 = 177.69/x
  3. Step 3: Cross multiply
    117.47x = 177.69 × 177.69
  4. Step 4: Simplify right side
    117.47x = 31,572.85
  5. Step 5: Solve for x
    x = 31,572.85/117.47
  6. Step 6: Final answer
    x = 268.78

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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.