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Finding the Third Proportional to 51,879 and 79,323

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Solution

The third proportional to 51,879 and 79,323 is: 121,284.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,879 : 79,323 = 79,323 : x
  2. Step 2: Convert to fraction form
    51,879/79,323 = 79,323/x
  3. Step 3: Cross multiply
    51,879x = 79,323 × 79,323
  4. Step 4: Simplify right side
    51,879x = 6,292,138,329
  5. Step 5: Solve for x
    x = 6,292,138,329/51,879
  6. Step 6: Final answer
    x = 121,284.88

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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.