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Finding the Third Proportional to 8,211 and 9,687

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Solution

The third proportional to 8,211 and 9,687 is: 11,428.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211 : 9,687 = 9,687 : x
  2. Step 2: Convert to fraction form
    8,211/9,687 = 9,687/x
  3. Step 3: Cross multiply
    8,211x = 9,687 × 9,687
  4. Step 4: Simplify right side
    8,211x = 93,837,969
  5. Step 5: Solve for x
    x = 93,837,969/8,211
  6. Step 6: Final answer
    x = 11,428.32

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.