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Finding the Third Proportional to 2,218 and 3,617

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Solution

The third proportional to 2,218 and 3,617 is: 5,898.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218 : 3,617 = 3,617 : x
  2. Step 2: Convert to fraction form
    2,218/3,617 = 3,617/x
  3. Step 3: Cross multiply
    2,218x = 3,617 × 3,617
  4. Step 4: Simplify right side
    2,218x = 13,082,689
  5. Step 5: Solve for x
    x = 13,082,689/2,218
  6. Step 6: Final answer
    x = 5,898.42

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.