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Finding the Third Proportional to 1,219.78 and 2,583.56

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Solution

The third proportional to 1,219.78 and 2,583.56 is: 5,472.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.78 : 2,583.56 = 2,583.56 : x
  2. Step 2: Convert to fraction form
    1,219.78/2,583.56 = 2,583.56/x
  3. Step 3: Cross multiply
    1,219.78x = 2,583.56 × 2,583.56
  4. Step 4: Simplify right side
    1,219.78x = 6,674,795.19
  5. Step 5: Solve for x
    x = 6,674,795.19/1,219.78
  6. Step 6: Final answer
    x = 5,472.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.