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Finding the Third Proportional to 138,891 and 196,659

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Solution

The third proportional to 138,891 and 196,659 is: 278,454.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,891 : 196,659 = 196,659 : x
  2. Step 2: Convert to fraction form
    138,891/196,659 = 196,659/x
  3. Step 3: Cross multiply
    138,891x = 196,659 × 196,659
  4. Step 4: Simplify right side
    138,891x = 38,674,762,281
  5. Step 5: Solve for x
    x = 38,674,762,281/138,891
  6. Step 6: Final answer
    x = 278,454.06

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.