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Finding the Third Proportional to 8,712.56 and 12,765.09

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Solution

The third proportional to 8,712.56 and 12,765.09 is: 18,702.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,712.56 : 12,765.09 = 12,765.09 : x
  2. Step 2: Convert to fraction form
    8,712.56/12,765.09 = 12,765.09/x
  3. Step 3: Cross multiply
    8,712.56x = 12,765.09 × 12,765.09
  4. Step 4: Simplify right side
    8,712.56x = 162,947,618.45
  5. Step 5: Solve for x
    x = 162,947,618.45/8,712.56
  6. Step 6: Final answer
    x = 18,702.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.