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Finding the Third Proportional to 15,869 and 34,561

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Solution

The third proportional to 15,869 and 34,561 is: 75,270.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,869 : 34,561 = 34,561 : x
  2. Step 2: Convert to fraction form
    15,869/34,561 = 34,561/x
  3. Step 3: Cross multiply
    15,869x = 34,561 × 34,561
  4. Step 4: Simplify right side
    15,869x = 1,194,462,721
  5. Step 5: Solve for x
    x = 1,194,462,721/15,869
  6. Step 6: Final answer
    x = 75,270.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.