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Finding the Third Proportional to 21,178 and 27,849

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Solution

The third proportional to 21,178 and 27,849 is: 36,621.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,178 : 27,849 = 27,849 : x
  2. Step 2: Convert to fraction form
    21,178/27,849 = 27,849/x
  3. Step 3: Cross multiply
    21,178x = 27,849 × 27,849
  4. Step 4: Simplify right side
    21,178x = 775,566,801
  5. Step 5: Solve for x
    x = 775,566,801/21,178
  6. Step 6: Final answer
    x = 36,621.34

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.