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Finding the Third Proportional to 1,956.09 and 4,243.92

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Solution

The third proportional to 1,956.09 and 4,243.92 is: 9,207.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,956.09 : 4,243.92 = 4,243.92 : x
  2. Step 2: Convert to fraction form
    1,956.09/4,243.92 = 4,243.92/x
  3. Step 3: Cross multiply
    1,956.09x = 4,243.92 × 4,243.92
  4. Step 4: Simplify right side
    1,956.09x = 18,010,872.88
  5. Step 5: Solve for x
    x = 18,010,872.88/1,956.09
  6. Step 6: Final answer
    x = 9,207.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.