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Finding the Third Proportional to 27,178 and 57,311

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Solution

The third proportional to 27,178 and 57,311 is: 120,853.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,178 : 57,311 = 57,311 : x
  2. Step 2: Convert to fraction form
    27,178/57,311 = 57,311/x
  3. Step 3: Cross multiply
    27,178x = 57,311 × 57,311
  4. Step 4: Simplify right side
    27,178x = 3,284,550,721
  5. Step 5: Solve for x
    x = 3,284,550,721/27,178
  6. Step 6: Final answer
    x = 120,853.29

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.