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Finding the Third Proportional to 13,387 and 28,381

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Solution

The third proportional to 13,387 and 28,381 is: 60,168.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,387 : 28,381 = 28,381 : x
  2. Step 2: Convert to fraction form
    13,387/28,381 = 28,381/x
  3. Step 3: Cross multiply
    13,387x = 28,381 × 28,381
  4. Step 4: Simplify right side
    13,387x = 805,481,161
  5. Step 5: Solve for x
    x = 805,481,161/13,387
  6. Step 6: Final answer
    x = 60,168.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.