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Finding the Third Proportional to 27,720 and 66,831

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Solution

The third proportional to 27,720 and 66,831 is: 161,124.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,720 : 66,831 = 66,831 : x
  2. Step 2: Convert to fraction form
    27,720/66,831 = 66,831/x
  3. Step 3: Cross multiply
    27,720x = 66,831 × 66,831
  4. Step 4: Simplify right side
    27,720x = 4,466,382,561
  5. Step 5: Solve for x
    x = 4,466,382,561/27,720
  6. Step 6: Final answer
    x = 161,124.91

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.