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Finding the Third Proportional to 169,317 and 361,134

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Solution

The third proportional to 169,317 and 361,134 is: 770,257.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,317 : 361,134 = 361,134 : x
  2. Step 2: Convert to fraction form
    169,317/361,134 = 361,134/x
  3. Step 3: Cross multiply
    169,317x = 361,134 × 361,134
  4. Step 4: Simplify right side
    169,317x = 130,417,765,956
  5. Step 5: Solve for x
    x = 130,417,765,956/169,317
  6. Step 6: Final answer
    x = 770,257.95

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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.