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Finding the Third Proportional to 136,519 and 206,687

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Solution

The third proportional to 136,519 and 206,687 is: 312,919.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,519 : 206,687 = 206,687 : x
  2. Step 2: Convert to fraction form
    136,519/206,687 = 206,687/x
  3. Step 3: Cross multiply
    136,519x = 206,687 × 206,687
  4. Step 4: Simplify right side
    136,519x = 42,719,515,969
  5. Step 5: Solve for x
    x = 42,719,515,969/136,519
  6. Step 6: Final answer
    x = 312,919.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.