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Finding the Third Proportional to 69 and 142.13

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Solution

The third proportional to 69 and 142.13 is: 292.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    69 : 142.13 = 142.13 : x
  2. Step 2: Convert to fraction form
    69/142.13 = 142.13/x
  3. Step 3: Cross multiply
    69x = 142.13 × 142.13
  4. Step 4: Simplify right side
    69x = 20,199.52
  5. Step 5: Solve for x
    x = 20,199.52/69
  6. Step 6: Final answer
    x = 292.75

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.