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Finding the Third Proportional to 177.73 and 279.63

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Solution

The third proportional to 177.73 and 279.63 is: 439.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.73 : 279.63 = 279.63 : x
  2. Step 2: Convert to fraction form
    177.73/279.63 = 279.63/x
  3. Step 3: Cross multiply
    177.73x = 279.63 × 279.63
  4. Step 4: Simplify right side
    177.73x = 78,194.51
  5. Step 5: Solve for x
    x = 78,194.51/177.73
  6. Step 6: Final answer
    x = 439.96

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.