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Finding the Third Proportional to 80,170 and 126,938

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Solution

The third proportional to 80,170 and 126,938 is: 200,988.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,170 : 126,938 = 126,938 : x
  2. Step 2: Convert to fraction form
    80,170/126,938 = 126,938/x
  3. Step 3: Cross multiply
    80,170x = 126,938 × 126,938
  4. Step 4: Simplify right side
    80,170x = 16,113,255,844
  5. Step 5: Solve for x
    x = 16,113,255,844/80,170
  6. Step 6: Final answer
    x = 200,988.60

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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.