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Finding the Third Proportional to 8,249.34 and 11,848.78

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Solution

The third proportional to 8,249.34 and 11,848.78 is: 17,018.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,249.34 : 11,848.78 = 11,848.78 : x
  2. Step 2: Convert to fraction form
    8,249.34/11,848.78 = 11,848.78/x
  3. Step 3: Cross multiply
    8,249.34x = 11,848.78 × 11,848.78
  4. Step 4: Simplify right side
    8,249.34x = 140,393,617.11
  5. Step 5: Solve for x
    x = 140,393,617.11/8,249.34
  6. Step 6: Final answer
    x = 17,018.76

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.