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Finding the Third Proportional to 18,786 and 26,387

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Solution

The third proportional to 18,786 and 26,387 is: 37,063.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,786 : 26,387 = 26,387 : x
  2. Step 2: Convert to fraction form
    18,786/26,387 = 26,387/x
  3. Step 3: Cross multiply
    18,786x = 26,387 × 26,387
  4. Step 4: Simplify right side
    18,786x = 696,273,769
  5. Step 5: Solve for x
    x = 696,273,769/18,786
  6. Step 6: Final answer
    x = 37,063.44

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.