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Finding the Third Proportional to 8,221.50 and 9,855

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Solution

The third proportional to 8,221.50 and 9,855 is: 11,813.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.50 : 9,855 = 9,855 : x
  2. Step 2: Convert to fraction form
    8,221.50/9,855 = 9,855/x
  3. Step 3: Cross multiply
    8,221.50x = 9,855 × 9,855
  4. Step 4: Simplify right side
    8,221.50x = 97,121,025
  5. Step 5: Solve for x
    x = 97,121,025/8,221.50
  6. Step 6: Final answer
    x = 11,813.05

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.