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Finding the Third Proportional to 138.59 and 298.05

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Solution

The third proportional to 138.59 and 298.05 is: 641.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.59 : 298.05 = 298.05 : x
  2. Step 2: Convert to fraction form
    138.59/298.05 = 298.05/x
  3. Step 3: Cross multiply
    138.59x = 298.05 × 298.05
  4. Step 4: Simplify right side
    138.59x = 88,836.60
  5. Step 5: Solve for x
    x = 88,836.60/138.59
  6. Step 6: Final answer
    x = 641.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.