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Finding the Third Proportional to 8,216 and 8,864

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Solution

The third proportional to 8,216 and 8,864 is: 9,563.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216 : 8,864 = 8,864 : x
  2. Step 2: Convert to fraction form
    8,216/8,864 = 8,864/x
  3. Step 3: Cross multiply
    8,216x = 8,864 × 8,864
  4. Step 4: Simplify right side
    8,216x = 78,570,496
  5. Step 5: Solve for x
    x = 78,570,496/8,216
  6. Step 6: Final answer
    x = 9,563.11

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.