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Finding the Third Proportional to 1,954.03 and 4,219.78

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Solution

The third proportional to 1,954.03 and 4,219.78 is: 9,112.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.03 : 4,219.78 = 4,219.78 : x
  2. Step 2: Convert to fraction form
    1,954.03/4,219.78 = 4,219.78/x
  3. Step 3: Cross multiply
    1,954.03x = 4,219.78 × 4,219.78
  4. Step 4: Simplify right side
    1,954.03x = 17,806,553.80
  5. Step 5: Solve for x
    x = 17,806,553.80/1,954.03
  6. Step 6: Final answer
    x = 9,112.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.