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Finding the Third Proportional to 8,611.31 and 9,879.94

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Solution

The third proportional to 8,611.31 and 9,879.94 is: 11,335.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,611.31 : 9,879.94 = 9,879.94 : x
  2. Step 2: Convert to fraction form
    8,611.31/9,879.94 = 9,879.94/x
  3. Step 3: Cross multiply
    8,611.31x = 9,879.94 × 9,879.94
  4. Step 4: Simplify right side
    8,611.31x = 97,613,280.78
  5. Step 5: Solve for x
    x = 97,613,280.78/8,611.31
  6. Step 6: Final answer
    x = 11,335.47

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.