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Finding the Third Proportional to 66.68 and 138.19

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Solution

The third proportional to 66.68 and 138.19 is: 286.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.68 : 138.19 = 138.19 : x
  2. Step 2: Convert to fraction form
    66.68/138.19 = 138.19/x
  3. Step 3: Cross multiply
    66.68x = 138.19 × 138.19
  4. Step 4: Simplify right side
    66.68x = 19,096.59
  5. Step 5: Solve for x
    x = 19,096.59/66.68
  6. Step 6: Final answer
    x = 286.38

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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.