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Finding the Third Proportional to 1,442.39 and 2,163.16

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Solution

The third proportional to 1,442.39 and 2,163.16 is: 3,244.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.39 : 2,163.16 = 2,163.16 : x
  2. Step 2: Convert to fraction form
    1,442.39/2,163.16 = 2,163.16/x
  3. Step 3: Cross multiply
    1,442.39x = 2,163.16 × 2,163.16
  4. Step 4: Simplify right side
    1,442.39x = 4,679,278.76
  5. Step 5: Solve for x
    x = 4,679,278.76/1,442.39
  6. Step 6: Final answer
    x = 3,244.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.