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Finding the Third Proportional to 4,038.21 and 8,872.82

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Solution

The third proportional to 4,038.21 and 8,872.82 is: 19,495.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,038.21 : 8,872.82 = 8,872.82 : x
  2. Step 2: Convert to fraction form
    4,038.21/8,872.82 = 8,872.82/x
  3. Step 3: Cross multiply
    4,038.21x = 8,872.82 × 8,872.82
  4. Step 4: Simplify right side
    4,038.21x = 78,726,974.96
  5. Step 5: Solve for x
    x = 78,726,974.96/4,038.21
  6. Step 6: Final answer
    x = 19,495.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.