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Finding the Third Proportional to 69,986 and 107,571

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Solution

The third proportional to 69,986 and 107,571 is: 165,340.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,986 : 107,571 = 107,571 : x
  2. Step 2: Convert to fraction form
    69,986/107,571 = 107,571/x
  3. Step 3: Cross multiply
    69,986x = 107,571 × 107,571
  4. Step 4: Simplify right side
    69,986x = 11,571,520,041
  5. Step 5: Solve for x
    x = 11,571,520,041/69,986
  6. Step 6: Final answer
    x = 165,340.50

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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.