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Finding the Third Proportional to 8,184 and 9,021

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Solution

The third proportional to 8,184 and 9,021 is: 9,943.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184 : 9,021 = 9,021 : x
  2. Step 2: Convert to fraction form
    8,184/9,021 = 9,021/x
  3. Step 3: Cross multiply
    8,184x = 9,021 × 9,021
  4. Step 4: Simplify right side
    8,184x = 81,378,441
  5. Step 5: Solve for x
    x = 81,378,441/8,184
  6. Step 6: Final answer
    x = 9,943.60

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.