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Finding the Third Proportional to 231,867 and 368,839

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Solution

The third proportional to 231,867 and 368,839 is: 586,725.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,867 : 368,839 = 368,839 : x
  2. Step 2: Convert to fraction form
    231,867/368,839 = 368,839/x
  3. Step 3: Cross multiply
    231,867x = 368,839 × 368,839
  4. Step 4: Simplify right side
    231,867x = 136,042,207,921
  5. Step 5: Solve for x
    x = 136,042,207,921/231,867
  6. Step 6: Final answer
    x = 586,725.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.