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Finding the Third Proportional to 1,240.45 and 2,660.78

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Solution

The third proportional to 1,240.45 and 2,660.78 is: 5,707.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.45 : 2,660.78 = 2,660.78 : x
  2. Step 2: Convert to fraction form
    1,240.45/2,660.78 = 2,660.78/x
  3. Step 3: Cross multiply
    1,240.45x = 2,660.78 × 2,660.78
  4. Step 4: Simplify right side
    1,240.45x = 7,079,743.87
  5. Step 5: Solve for x
    x = 7,079,743.87/1,240.45
  6. Step 6: Final answer
    x = 5,707.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.