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Finding the Third Proportional to 8,214.56 and 12,869.44

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Solution

The third proportional to 8,214.56 and 12,869.44 is: 20,162.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.56 : 12,869.44 = 12,869.44 : x
  2. Step 2: Convert to fraction form
    8,214.56/12,869.44 = 12,869.44/x
  3. Step 3: Cross multiply
    8,214.56x = 12,869.44 × 12,869.44
  4. Step 4: Simplify right side
    8,214.56x = 165,622,421.57
  5. Step 5: Solve for x
    x = 165,622,421.57/8,214.56
  6. Step 6: Final answer
    x = 20,162.05

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.