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Finding the Third Proportional to 138,698 and 213,231

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Solution

The third proportional to 138,698 and 213,231 is: 327,816.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,698 : 213,231 = 213,231 : x
  2. Step 2: Convert to fraction form
    138,698/213,231 = 213,231/x
  3. Step 3: Cross multiply
    138,698x = 213,231 × 213,231
  4. Step 4: Simplify right side
    138,698x = 45,467,459,361
  5. Step 5: Solve for x
    x = 45,467,459,361/138,698
  6. Step 6: Final answer
    x = 327,816.26

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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.