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Finding the Third Proportional to 1,805.91 and 3,891.94

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Solution

The third proportional to 1,805.91 and 3,891.94 is: 8,387.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.91 : 3,891.94 = 3,891.94 : x
  2. Step 2: Convert to fraction form
    1,805.91/3,891.94 = 3,891.94/x
  3. Step 3: Cross multiply
    1,805.91x = 3,891.94 × 3,891.94
  4. Step 4: Simplify right side
    1,805.91x = 15,147,177.50
  5. Step 5: Solve for x
    x = 15,147,177.50/1,805.91
  6. Step 6: Final answer
    x = 8,387.58

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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.