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Finding the Third Proportional to 165.88 and 355.69

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Solution

The third proportional to 165.88 and 355.69 is: 762.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.88 : 355.69 = 355.69 : x
  2. Step 2: Convert to fraction form
    165.88/355.69 = 355.69/x
  3. Step 3: Cross multiply
    165.88x = 355.69 × 355.69
  4. Step 4: Simplify right side
    165.88x = 126,513.60
  5. Step 5: Solve for x
    x = 126,513.60/165.88
  6. Step 6: Final answer
    x = 762.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.