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Finding the Third Proportional to 15,186 and 27,078

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Solution

The third proportional to 15,186 and 27,078 is: 48,282.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,186 : 27,078 = 27,078 : x
  2. Step 2: Convert to fraction form
    15,186/27,078 = 27,078/x
  3. Step 3: Cross multiply
    15,186x = 27,078 × 27,078
  4. Step 4: Simplify right side
    15,186x = 733,218,084
  5. Step 5: Solve for x
    x = 733,218,084/15,186
  6. Step 6: Final answer
    x = 48,282.50

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.