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Finding the Third Proportional to 2,213 and 4,003

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Solution

The third proportional to 2,213 and 4,003 is: 7,240.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213 : 4,003 = 4,003 : x
  2. Step 2: Convert to fraction form
    2,213/4,003 = 4,003/x
  3. Step 3: Cross multiply
    2,213x = 4,003 × 4,003
  4. Step 4: Simplify right side
    2,213x = 16,024,009
  5. Step 5: Solve for x
    x = 16,024,009/2,213
  6. Step 6: Final answer
    x = 7,240.85

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.