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Finding the Third Proportional to 138.88 and 334.19

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Solution

The third proportional to 138.88 and 334.19 is: 804.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.88 : 334.19 = 334.19 : x
  2. Step 2: Convert to fraction form
    138.88/334.19 = 334.19/x
  3. Step 3: Cross multiply
    138.88x = 334.19 × 334.19
  4. Step 4: Simplify right side
    138.88x = 111,681.29
  5. Step 5: Solve for x
    x = 111,681.29/138.88
  6. Step 6: Final answer
    x = 804.19

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.