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Finding the Third Proportional to 1,988.44 and 4,231.69

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Solution

The third proportional to 1,988.44 and 4,231.69 is: 9,005.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988.44 : 4,231.69 = 4,231.69 : x
  2. Step 2: Convert to fraction form
    1,988.44/4,231.69 = 4,231.69/x
  3. Step 3: Cross multiply
    1,988.44x = 4,231.69 × 4,231.69
  4. Step 4: Simplify right side
    1,988.44x = 17,907,179.10
  5. Step 5: Solve for x
    x = 17,907,179.10/1,988.44
  6. Step 6: Final answer
    x = 9,005.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.