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Finding the Third Proportional to 2,234.25 and 5,038.03

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Solution

The third proportional to 2,234.25 and 5,038.03 is: 11,360.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.25 : 5,038.03 = 5,038.03 : x
  2. Step 2: Convert to fraction form
    2,234.25/5,038.03 = 5,038.03/x
  3. Step 3: Cross multiply
    2,234.25x = 5,038.03 × 5,038.03
  4. Step 4: Simplify right side
    2,234.25x = 25,381,758.88
  5. Step 5: Solve for x
    x = 25,381,758.88/2,234.25
  6. Step 6: Final answer
    x = 11,360.30

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.