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Finding the Third Proportional to 165.80 and 335.95

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Solution

The third proportional to 165.80 and 335.95 is: 680.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.80 : 335.95 = 335.95 : x
  2. Step 2: Convert to fraction form
    165.80/335.95 = 335.95/x
  3. Step 3: Cross multiply
    165.80x = 335.95 × 335.95
  4. Step 4: Simplify right side
    165.80x = 112,864.50
  5. Step 5: Solve for x
    x = 112,864.50/165.80
  6. Step 6: Final answer
    x = 680.74

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.