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Finding the Third Proportional to 51,805 and 79,995

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Solution

The third proportional to 51,805 and 79,995 is: 123,524.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,805 : 79,995 = 79,995 : x
  2. Step 2: Convert to fraction form
    51,805/79,995 = 79,995/x
  3. Step 3: Cross multiply
    51,805x = 79,995 × 79,995
  4. Step 4: Simplify right side
    51,805x = 6,399,200,025
  5. Step 5: Solve for x
    x = 6,399,200,025/51,805
  6. Step 6: Final answer
    x = 123,524.76

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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.