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Finding the Third Proportional to 136,674 and 288,198

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Solution

The third proportional to 136,674 and 288,198 is: 607,709.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,674 : 288,198 = 288,198 : x
  2. Step 2: Convert to fraction form
    136,674/288,198 = 288,198/x
  3. Step 3: Cross multiply
    136,674x = 288,198 × 288,198
  4. Step 4: Simplify right side
    136,674x = 83,058,087,204
  5. Step 5: Solve for x
    x = 83,058,087,204/136,674
  6. Step 6: Final answer
    x = 607,709.49

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.