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Finding the Third Proportional to 7,727.06 and 8,729.44

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Solution

The third proportional to 7,727.06 and 8,729.44 is: 9,861.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,727.06 : 8,729.44 = 8,729.44 : x
  2. Step 2: Convert to fraction form
    7,727.06/8,729.44 = 8,729.44/x
  3. Step 3: Cross multiply
    7,727.06x = 8,729.44 × 8,729.44
  4. Step 4: Simplify right side
    7,727.06x = 76,203,079.07
  5. Step 5: Solve for x
    x = 76,203,079.07/7,727.06
  6. Step 6: Final answer
    x = 9,861.84

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.