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Finding the Third Proportional to 51,170 and 78,939

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Solution

The third proportional to 51,170 and 78,939 is: 121,777.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,170 : 78,939 = 78,939 : x
  2. Step 2: Convert to fraction form
    51,170/78,939 = 78,939/x
  3. Step 3: Cross multiply
    51,170x = 78,939 × 78,939
  4. Step 4: Simplify right side
    51,170x = 6,231,365,721
  5. Step 5: Solve for x
    x = 6,231,365,721/51,170
  6. Step 6: Final answer
    x = 121,777.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.