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Finding the Third Proportional to 27,381 and 30,261

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Solution

The third proportional to 27,381 and 30,261 is: 33,443.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,381 : 30,261 = 30,261 : x
  2. Step 2: Convert to fraction form
    27,381/30,261 = 30,261/x
  3. Step 3: Cross multiply
    27,381x = 30,261 × 30,261
  4. Step 4: Simplify right side
    27,381x = 915,728,121
  5. Step 5: Solve for x
    x = 915,728,121/27,381
  6. Step 6: Final answer
    x = 33,443.93

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.