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Finding the Third Proportional to 142.75 and 292.69

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Solution

The third proportional to 142.75 and 292.69 is: 600.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.75 : 292.69 = 292.69 : x
  2. Step 2: Convert to fraction form
    142.75/292.69 = 292.69/x
  3. Step 3: Cross multiply
    142.75x = 292.69 × 292.69
  4. Step 4: Simplify right side
    142.75x = 85,665.97
  5. Step 5: Solve for x
    x = 85,665.97/142.75
  6. Step 6: Final answer
    x = 600.11

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.