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Finding the Third Proportional to 1,217.18 and 2,647.97

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Solution

The third proportional to 1,217.18 and 2,647.97 is: 5,760.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.18 : 2,647.97 = 2,647.97 : x
  2. Step 2: Convert to fraction form
    1,217.18/2,647.97 = 2,647.97/x
  3. Step 3: Cross multiply
    1,217.18x = 2,647.97 × 2,647.97
  4. Step 4: Simplify right side
    1,217.18x = 7,011,738.50
  5. Step 5: Solve for x
    x = 7,011,738.50/1,217.18
  6. Step 6: Final answer
    x = 5,760.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.