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Finding the Third Proportional to 8,217.28 and 12,709.41

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Solution

The third proportional to 8,217.28 and 12,709.41 is: 19,657.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,217.28 : 12,709.41 = 12,709.41 : x
  2. Step 2: Convert to fraction form
    8,217.28/12,709.41 = 12,709.41/x
  3. Step 3: Cross multiply
    8,217.28x = 12,709.41 × 12,709.41
  4. Step 4: Simplify right side
    8,217.28x = 161,529,007.23
  5. Step 5: Solve for x
    x = 161,529,007.23/8,217.28
  6. Step 6: Final answer
    x = 19,657.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.