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Finding the Third Proportional to 8,511.75 and 12,166.88

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Solution

The third proportional to 8,511.75 and 12,166.88 is: 17,391.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.75 : 12,166.88 = 12,166.88 : x
  2. Step 2: Convert to fraction form
    8,511.75/12,166.88 = 12,166.88/x
  3. Step 3: Cross multiply
    8,511.75x = 12,166.88 × 12,166.88
  4. Step 4: Simplify right side
    8,511.75x = 148,032,847.27
  5. Step 5: Solve for x
    x = 148,032,847.27/8,511.75
  6. Step 6: Final answer
    x = 17,391.59

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.