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Finding the Third Proportional to 136,627 and 209,087

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Solution

The third proportional to 136,627 and 209,087 is: 319,976.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,627 : 209,087 = 209,087 : x
  2. Step 2: Convert to fraction form
    136,627/209,087 = 209,087/x
  3. Step 3: Cross multiply
    136,627x = 209,087 × 209,087
  4. Step 4: Simplify right side
    136,627x = 43,717,373,569
  5. Step 5: Solve for x
    x = 43,717,373,569/136,627
  6. Step 6: Final answer
    x = 319,976.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.