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Finding the Third Proportional to 51,880 and 79,116

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Solution

The third proportional to 51,880 and 79,116 is: 120,650.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,880 : 79,116 = 79,116 : x
  2. Step 2: Convert to fraction form
    51,880/79,116 = 79,116/x
  3. Step 3: Cross multiply
    51,880x = 79,116 × 79,116
  4. Step 4: Simplify right side
    51,880x = 6,259,341,456
  5. Step 5: Solve for x
    x = 6,259,341,456/51,880
  6. Step 6: Final answer
    x = 120,650.38

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.