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Finding the Third Proportional to 165.80 and 258.12

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Solution

The third proportional to 165.80 and 258.12 is: 401.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.80 : 258.12 = 258.12 : x
  2. Step 2: Convert to fraction form
    165.80/258.12 = 258.12/x
  3. Step 3: Cross multiply
    165.80x = 258.12 × 258.12
  4. Step 4: Simplify right side
    165.80x = 66,624.48
  5. Step 5: Solve for x
    x = 66,624.48/165.80
  6. Step 6: Final answer
    x = 401.84

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.