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Finding the Third Proportional to 3,645 and 9,213

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Solution

The third proportional to 3,645 and 9,213 is: 23,286.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645 : 9,213 = 9,213 : x
  2. Step 2: Convert to fraction form
    3,645/9,213 = 9,213/x
  3. Step 3: Cross multiply
    3,645x = 9,213 × 9,213
  4. Step 4: Simplify right side
    3,645x = 84,879,369
  5. Step 5: Solve for x
    x = 84,879,369/3,645
  6. Step 6: Final answer
    x = 23,286.52

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Why These Related Problems?

These problems maintain the same ratio (2.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.