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Finding the Third Proportional to 15,891.75 and 21,087

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Solution

The third proportional to 15,891.75 and 21,087 is: 27,980.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,891.75 : 21,087 = 21,087 : x
  2. Step 2: Convert to fraction form
    15,891.75/21,087 = 21,087/x
  3. Step 3: Cross multiply
    15,891.75x = 21,087 × 21,087
  4. Step 4: Simplify right side
    15,891.75x = 444,661,569
  5. Step 5: Solve for x
    x = 444,661,569/15,891.75
  6. Step 6: Final answer
    x = 27,980.65

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.