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Finding the Third Proportional to 843.84 and 1,971.09

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Solution

The third proportional to 843.84 and 1,971.09 is: 4,604.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.84 : 1,971.09 = 1,971.09 : x
  2. Step 2: Convert to fraction form
    843.84/1,971.09 = 1,971.09/x
  3. Step 3: Cross multiply
    843.84x = 1,971.09 × 1,971.09
  4. Step 4: Simplify right side
    843.84x = 3,885,210.57
  5. Step 5: Solve for x
    x = 3,885,210.57/843.84
  6. Step 6: Final answer
    x = 4,604.18

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.