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Finding the Third Proportional to 85,170 and 128,939

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Solution

The third proportional to 85,170 and 128,939 is: 195,200.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,170 : 128,939 = 128,939 : x
  2. Step 2: Convert to fraction form
    85,170/128,939 = 128,939/x
  3. Step 3: Cross multiply
    85,170x = 128,939 × 128,939
  4. Step 4: Simplify right side
    85,170x = 16,625,265,721
  5. Step 5: Solve for x
    x = 16,625,265,721/85,170
  6. Step 6: Final answer
    x = 195,200.96

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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.