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Finding the Third Proportional to 51,743 and 79,100

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Solution

The third proportional to 51,743 and 79,100 is: 120,920.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,743 : 79,100 = 79,100 : x
  2. Step 2: Convert to fraction form
    51,743/79,100 = 79,100/x
  3. Step 3: Cross multiply
    51,743x = 79,100 × 79,100
  4. Step 4: Simplify right side
    51,743x = 6,256,810,000
  5. Step 5: Solve for x
    x = 6,256,810,000/51,743
  6. Step 6: Final answer
    x = 120,920.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.