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Finding the Third Proportional to 15,538 and 27,782

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Solution

The third proportional to 15,538 and 27,782 is: 49,674.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,538 : 27,782 = 27,782 : x
  2. Step 2: Convert to fraction form
    15,538/27,782 = 27,782/x
  3. Step 3: Cross multiply
    15,538x = 27,782 × 27,782
  4. Step 4: Simplify right side
    15,538x = 771,839,524
  5. Step 5: Solve for x
    x = 771,839,524/15,538
  6. Step 6: Final answer
    x = 49,674.32

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.