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Finding the Third Proportional to 1,989.84 and 4,143.09

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Solution

The third proportional to 1,989.84 and 4,143.09 is: 8,626.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,989.84 : 4,143.09 = 4,143.09 : x
  2. Step 2: Convert to fraction form
    1,989.84/4,143.09 = 4,143.09/x
  3. Step 3: Cross multiply
    1,989.84x = 4,143.09 × 4,143.09
  4. Step 4: Simplify right side
    1,989.84x = 17,165,225.82
  5. Step 5: Solve for x
    x = 17,165,225.82/1,989.84
  6. Step 6: Final answer
    x = 8,626.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.