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Finding the Third Proportional to 8,964.42 and 11,444.73

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Solution

The third proportional to 8,964.42 and 11,444.73 is: 14,611.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,964.42 : 11,444.73 = 11,444.73 : x
  2. Step 2: Convert to fraction form
    8,964.42/11,444.73 = 11,444.73/x
  3. Step 3: Cross multiply
    8,964.42x = 11,444.73 × 11,444.73
  4. Step 4: Simplify right side
    8,964.42x = 130,981,855.50
  5. Step 5: Solve for x
    x = 130,981,855.50/8,964.42
  6. Step 6: Final answer
    x = 14,611.30

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.