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Finding the Third Proportional to 126,988 and 200,907

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Solution

The third proportional to 126,988 and 200,907 is: 317,853.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,988 : 200,907 = 200,907 : x
  2. Step 2: Convert to fraction form
    126,988/200,907 = 200,907/x
  3. Step 3: Cross multiply
    126,988x = 200,907 × 200,907
  4. Step 4: Simplify right side
    126,988x = 40,363,622,649
  5. Step 5: Solve for x
    x = 40,363,622,649/126,988
  6. Step 6: Final answer
    x = 317,853.83

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.