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Finding the Third Proportional to 138,863 and 196,630

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Solution

The third proportional to 138,863 and 196,630 is: 278,428.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,863 : 196,630 = 196,630 : x
  2. Step 2: Convert to fraction form
    138,863/196,630 = 196,630/x
  3. Step 3: Cross multiply
    138,863x = 196,630 × 196,630
  4. Step 4: Simplify right side
    138,863x = 38,663,356,900
  5. Step 5: Solve for x
    x = 38,663,356,900/138,863
  6. Step 6: Final answer
    x = 278,428.07

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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.