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Finding the Third Proportional to 138,162 and 213,351

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Solution

The third proportional to 138,162 and 213,351 is: 329,458.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,162 : 213,351 = 213,351 : x
  2. Step 2: Convert to fraction form
    138,162/213,351 = 213,351/x
  3. Step 3: Cross multiply
    138,162x = 213,351 × 213,351
  4. Step 4: Simplify right side
    138,162x = 45,518,649,201
  5. Step 5: Solve for x
    x = 45,518,649,201/138,162
  6. Step 6: Final answer
    x = 329,458.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.