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Finding the Third Proportional to 27,826 and 61,872

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Solution

The third proportional to 27,826 and 61,872 is: 137,574.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,826 : 61,872 = 61,872 : x
  2. Step 2: Convert to fraction form
    27,826/61,872 = 61,872/x
  3. Step 3: Cross multiply
    27,826x = 61,872 × 61,872
  4. Step 4: Simplify right side
    27,826x = 3,828,144,384
  5. Step 5: Solve for x
    x = 3,828,144,384/27,826
  6. Step 6: Final answer
    x = 137,574.37

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.