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Finding the Third Proportional to 2,111 and 2,561

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Solution

The third proportional to 2,111 and 2,561 is: 3,106.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111 : 2,561 = 2,561 : x
  2. Step 2: Convert to fraction form
    2,111/2,561 = 2,561/x
  3. Step 3: Cross multiply
    2,111x = 2,561 × 2,561
  4. Step 4: Simplify right side
    2,111x = 6,558,721
  5. Step 5: Solve for x
    x = 6,558,721/2,111
  6. Step 6: Final answer
    x = 3,106.93

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.