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Finding the Third Proportional to 2,680.28 and 4,040.19

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Solution

The third proportional to 2,680.28 and 4,040.19 is: 6,090.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,680.28 : 4,040.19 = 4,040.19 : x
  2. Step 2: Convert to fraction form
    2,680.28/4,040.19 = 4,040.19/x
  3. Step 3: Cross multiply
    2,680.28x = 4,040.19 × 4,040.19
  4. Step 4: Simplify right side
    2,680.28x = 16,323,146.60
  5. Step 5: Solve for x
    x = 16,323,146.60/2,680.28
  6. Step 6: Final answer
    x = 6,090.10

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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.