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Finding the Third Proportional to 8,216.44 and 12,875.20

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Solution

The third proportional to 8,216.44 and 12,875.20 is: 20,175.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.44 : 12,875.20 = 12,875.20 : x
  2. Step 2: Convert to fraction form
    8,216.44/12,875.20 = 12,875.20/x
  3. Step 3: Cross multiply
    8,216.44x = 12,875.20 × 12,875.20
  4. Step 4: Simplify right side
    8,216.44x = 165,770,855.51
  5. Step 5: Solve for x
    x = 165,770,855.51/8,216.44
  6. Step 6: Final answer
    x = 20,175.51

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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.