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Finding the Third Proportional to 76.68 and 165.48

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Solution

The third proportional to 76.68 and 165.48 is: 357.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.68 : 165.48 = 165.48 : x
  2. Step 2: Convert to fraction form
    76.68/165.48 = 165.48/x
  3. Step 3: Cross multiply
    76.68x = 165.48 × 165.48
  4. Step 4: Simplify right side
    76.68x = 27,383.79
  5. Step 5: Solve for x
    x = 27,383.79/76.68
  6. Step 6: Final answer
    x = 357.14

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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.