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Finding the Third Proportional to 65,074 and 138,734

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Solution

The third proportional to 65,074 and 138,734 is: 295,772.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,074 : 138,734 = 138,734 : x
  2. Step 2: Convert to fraction form
    65,074/138,734 = 138,734/x
  3. Step 3: Cross multiply
    65,074x = 138,734 × 138,734
  4. Step 4: Simplify right side
    65,074x = 19,247,122,756
  5. Step 5: Solve for x
    x = 19,247,122,756/65,074
  6. Step 6: Final answer
    x = 295,772.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.