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Finding the Third Proportional to 4,234.78 and 8,906.20

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Solution

The third proportional to 4,234.78 and 8,906.20 is: 18,730.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,234.78 : 8,906.20 = 8,906.20 : x
  2. Step 2: Convert to fraction form
    4,234.78/8,906.20 = 8,906.20/x
  3. Step 3: Cross multiply
    4,234.78x = 8,906.20 × 8,906.20
  4. Step 4: Simplify right side
    4,234.78x = 79,320,454.10
  5. Step 5: Solve for x
    x = 79,320,454.10/4,234.78
  6. Step 6: Final answer
    x = 18,730.71

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.