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Finding the Third Proportional to 138.47 and 329.30

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Solution

The third proportional to 138.47 and 329.30 is: 783.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.47 : 329.30 = 329.30 : x
  2. Step 2: Convert to fraction form
    138.47/329.30 = 329.30/x
  3. Step 3: Cross multiply
    138.47x = 329.30 × 329.30
  4. Step 4: Simplify right side
    138.47x = 108,436.43
  5. Step 5: Solve for x
    x = 108,436.43/138.47
  6. Step 6: Final answer
    x = 783.11

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.