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Finding the Third Proportional to 2,168.02 and 3,102.52

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Solution

The third proportional to 2,168.02 and 3,102.52 is: 4,439.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.02 : 3,102.52 = 3,102.52 : x
  2. Step 2: Convert to fraction form
    2,168.02/3,102.52 = 3,102.52/x
  3. Step 3: Cross multiply
    2,168.02x = 3,102.52 × 3,102.52
  4. Step 4: Simplify right side
    2,168.02x = 9,625,639.56
  5. Step 5: Solve for x
    x = 9,625,639.56/2,168.02
  6. Step 6: Final answer
    x = 4,439.84

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.