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Finding the Third Proportional to 165.69 and 357.06

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Solution

The third proportional to 165.69 and 357.06 is: 769.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.69 : 357.06 = 357.06 : x
  2. Step 2: Convert to fraction form
    165.69/357.06 = 357.06/x
  3. Step 3: Cross multiply
    165.69x = 357.06 × 357.06
  4. Step 4: Simplify right side
    165.69x = 127,493.63
  5. Step 5: Solve for x
    x = 127,493.63/165.69
  6. Step 6: Final answer
    x = 769.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.