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Finding the Third Proportional to 138.94 and 336.28

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Solution

The third proportional to 138.94 and 336.28 is: 813.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.94 : 336.28 = 336.28 : x
  2. Step 2: Convert to fraction form
    138.94/336.28 = 336.28/x
  3. Step 3: Cross multiply
    138.94x = 336.28 × 336.28
  4. Step 4: Simplify right side
    138.94x = 113,085.08
  5. Step 5: Solve for x
    x = 113,085.08/138.94
  6. Step 6: Final answer
    x = 813.93

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.