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Finding the Third Proportional to 18,801 and 27,313

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Solution

The third proportional to 18,801 and 27,313 is: 39,678.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,801 : 27,313 = 27,313 : x
  2. Step 2: Convert to fraction form
    18,801/27,313 = 27,313/x
  3. Step 3: Cross multiply
    18,801x = 27,313 × 27,313
  4. Step 4: Simplify right side
    18,801x = 745,999,969
  5. Step 5: Solve for x
    x = 745,999,969/18,801
  6. Step 6: Final answer
    x = 39,678.74

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.