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Finding the Third Proportional to 138,889 and 196,656

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Solution

The third proportional to 138,889 and 196,656 is: 278,449.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,889 : 196,656 = 196,656 : x
  2. Step 2: Convert to fraction form
    138,889/196,656 = 196,656/x
  3. Step 3: Cross multiply
    138,889x = 196,656 × 196,656
  4. Step 4: Simplify right side
    138,889x = 38,673,582,336
  5. Step 5: Solve for x
    x = 38,673,582,336/138,889
  6. Step 6: Final answer
    x = 278,449.57

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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.