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Finding the Third Proportional to 8,846.44 and 12,904.78

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Solution

The third proportional to 8,846.44 and 12,904.78 is: 18,824.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,846.44 : 12,904.78 = 12,904.78 : x
  2. Step 2: Convert to fraction form
    8,846.44/12,904.78 = 12,904.78/x
  3. Step 3: Cross multiply
    8,846.44x = 12,904.78 × 12,904.78
  4. Step 4: Simplify right side
    8,846.44x = 166,533,379.11
  5. Step 5: Solve for x
    x = 166,533,379.11/8,846.44
  6. Step 6: Final answer
    x = 18,824.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.