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Finding the Third Proportional to 67,078 and 90,775

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Solution

The third proportional to 67,078 and 90,775 is: 122,843.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,078 : 90,775 = 90,775 : x
  2. Step 2: Convert to fraction form
    67,078/90,775 = 90,775/x
  3. Step 3: Cross multiply
    67,078x = 90,775 × 90,775
  4. Step 4: Simplify right side
    67,078x = 8,240,100,625
  5. Step 5: Solve for x
    x = 8,240,100,625/67,078
  6. Step 6: Final answer
    x = 122,843.56

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.