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Finding the Third Proportional to 51,504 and 79,696

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Solution

The third proportional to 51,504 and 79,696 is: 123,319.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,504 : 79,696 = 79,696 : x
  2. Step 2: Convert to fraction form
    51,504/79,696 = 79,696/x
  3. Step 3: Cross multiply
    51,504x = 79,696 × 79,696
  4. Step 4: Simplify right side
    51,504x = 6,351,452,416
  5. Step 5: Solve for x
    x = 6,351,452,416/51,504
  6. Step 6: Final answer
    x = 123,319.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.