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Finding the Third Proportional to 27,789 and 59,919

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Solution

The third proportional to 27,789 and 59,919 is: 129,198.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,789 : 59,919 = 59,919 : x
  2. Step 2: Convert to fraction form
    27,789/59,919 = 59,919/x
  3. Step 3: Cross multiply
    27,789x = 59,919 × 59,919
  4. Step 4: Simplify right side
    27,789x = 3,590,286,561
  5. Step 5: Solve for x
    x = 3,590,286,561/27,789
  6. Step 6: Final answer
    x = 129,198.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.