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Finding the Third Proportional to 1,219.78 and 1,837.97

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Solution

The third proportional to 1,219.78 and 1,837.97 is: 2,769.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.78 : 1,837.97 = 1,837.97 : x
  2. Step 2: Convert to fraction form
    1,219.78/1,837.97 = 1,837.97/x
  3. Step 3: Cross multiply
    1,219.78x = 1,837.97 × 1,837.97
  4. Step 4: Simplify right side
    1,219.78x = 3,378,129.13
  5. Step 5: Solve for x
    x = 3,378,129.13/1,219.78
  6. Step 6: Final answer
    x = 2,769.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.