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Finding the Third Proportional to 67.71 and 139.92

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Solution

The third proportional to 67.71 and 139.92 is: 289.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.71 : 139.92 = 139.92 : x
  2. Step 2: Convert to fraction form
    67.71/139.92 = 139.92/x
  3. Step 3: Cross multiply
    67.71x = 139.92 × 139.92
  4. Step 4: Simplify right side
    67.71x = 19,578.13
  5. Step 5: Solve for x
    x = 19,578.13/67.71
  6. Step 6: Final answer
    x = 289.14

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.