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Finding the Third Proportional to 51,399 and 79,103.25

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Solution

The third proportional to 51,399 and 79,103.25 is: 121,740.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,399 : 79,103.25 = 79,103.25 : x
  2. Step 2: Convert to fraction form
    51,399/79,103.25 = 79,103.25/x
  3. Step 3: Cross multiply
    51,399x = 79,103.25 × 79,103.25
  4. Step 4: Simplify right side
    51,399x = 6,257,324,160.56
  5. Step 5: Solve for x
    x = 6,257,324,160.56/51,399
  6. Step 6: Final answer
    x = 121,740.19

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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.