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Finding the Third Proportional to 177.66 and 248.77

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Solution

The third proportional to 177.66 and 248.77 is: 348.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.66 : 248.77 = 248.77 : x
  2. Step 2: Convert to fraction form
    177.66/248.77 = 248.77/x
  3. Step 3: Cross multiply
    177.66x = 248.77 × 248.77
  4. Step 4: Simplify right side
    177.66x = 61,884.34
  5. Step 5: Solve for x
    x = 61,884.34/177.66
  6. Step 6: Final answer
    x = 348.34

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.