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Finding the Third Proportional to 807.05 and 1,286.09

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Solution

The third proportional to 807.05 and 1,286.09 is: 2,049.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.05 : 1,286.09 = 1,286.09 : x
  2. Step 2: Convert to fraction form
    807.05/1,286.09 = 1,286.09/x
  3. Step 3: Cross multiply
    807.05x = 1,286.09 × 1,286.09
  4. Step 4: Simplify right side
    807.05x = 1,654,017.04
  5. Step 5: Solve for x
    x = 1,654,017.04/807.05
  6. Step 6: Final answer
    x = 2,049.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.