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Finding the Third Proportional to 1,215.28 and 2,596.78

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Solution

The third proportional to 1,215.28 and 2,596.78 is: 5,548.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.28 : 2,596.78 = 2,596.78 : x
  2. Step 2: Convert to fraction form
    1,215.28/2,596.78 = 2,596.78/x
  3. Step 3: Cross multiply
    1,215.28x = 2,596.78 × 2,596.78
  4. Step 4: Simplify right side
    1,215.28x = 6,743,272.86
  5. Step 5: Solve for x
    x = 6,743,272.86/1,215.28
  6. Step 6: Final answer
    x = 5,548.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.