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Finding the Third Proportional to 27,661 and 57,581

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Solution

The third proportional to 27,661 and 57,581 is: 119,864.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,661 : 57,581 = 57,581 : x
  2. Step 2: Convert to fraction form
    27,661/57,581 = 57,581/x
  3. Step 3: Cross multiply
    27,661x = 57,581 × 57,581
  4. Step 4: Simplify right side
    27,661x = 3,315,571,561
  5. Step 5: Solve for x
    x = 3,315,571,561/27,661
  6. Step 6: Final answer
    x = 119,864.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.