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Finding the Third Proportional to 76.36 and 142.17

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Solution

The third proportional to 76.36 and 142.17 is: 264.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.36 : 142.17 = 142.17 : x
  2. Step 2: Convert to fraction form
    76.36/142.17 = 142.17/x
  3. Step 3: Cross multiply
    76.36x = 142.17 × 142.17
  4. Step 4: Simplify right side
    76.36x = 20,212.84
  5. Step 5: Solve for x
    x = 20,212.84/76.36
  6. Step 6: Final answer
    x = 264.71

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.