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Finding the Third Proportional to 1,991.04 and 4,219.17

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Solution

The third proportional to 1,991.04 and 4,219.17 is: 8,940.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.04 : 4,219.17 = 4,219.17 : x
  2. Step 2: Convert to fraction form
    1,991.04/4,219.17 = 4,219.17/x
  3. Step 3: Cross multiply
    1,991.04x = 4,219.17 × 4,219.17
  4. Step 4: Simplify right side
    1,991.04x = 17,801,411.31
  5. Step 5: Solve for x
    x = 17,801,411.31/1,991.04
  6. Step 6: Final answer
    x = 8,940.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.