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Finding the Third Proportional to 843.59 and 1,853.22

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Solution

The third proportional to 843.59 and 1,853.22 is: 4,071.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.59 : 1,853.22 = 1,853.22 : x
  2. Step 2: Convert to fraction form
    843.59/1,853.22 = 1,853.22/x
  3. Step 3: Cross multiply
    843.59x = 1,853.22 × 1,853.22
  4. Step 4: Simplify right side
    843.59x = 3,434,419.74
  5. Step 5: Solve for x
    x = 3,434,419.74/843.59
  6. Step 6: Final answer
    x = 4,071.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.