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Finding the Third Proportional to 51,744 and 79,908

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Solution

The third proportional to 51,744 and 79,908 is: 123,401.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,744 : 79,908 = 79,908 : x
  2. Step 2: Convert to fraction form
    51,744/79,908 = 79,908/x
  3. Step 3: Cross multiply
    51,744x = 79,908 × 79,908
  4. Step 4: Simplify right side
    51,744x = 6,385,288,464
  5. Step 5: Solve for x
    x = 6,385,288,464/51,744
  6. Step 6: Final answer
    x = 123,401.52

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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.