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Finding the Third Proportional to 117.73 and 177.80

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Solution

The third proportional to 117.73 and 177.80 is: 268.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.73 : 177.80 = 177.80 : x
  2. Step 2: Convert to fraction form
    117.73/177.80 = 177.80/x
  3. Step 3: Cross multiply
    117.73x = 177.80 × 177.80
  4. Step 4: Simplify right side
    117.73x = 31,613.03
  5. Step 5: Solve for x
    x = 31,613.03/117.73
  6. Step 6: Final answer
    x = 268.52

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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.