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Finding the Third Proportional to 8,212.50 and 8,896.50

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Solution

The third proportional to 8,212.50 and 8,896.50 is: 9,637.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.50 : 8,896.50 = 8,896.50 : x
  2. Step 2: Convert to fraction form
    8,212.50/8,896.50 = 8,896.50/x
  3. Step 3: Cross multiply
    8,212.50x = 8,896.50 × 8,896.50
  4. Step 4: Simplify right side
    8,212.50x = 79,147,712.25
  5. Step 5: Solve for x
    x = 79,147,712.25/8,212.50
  6. Step 6: Final answer
    x = 9,637.47

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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.