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Finding the Third Proportional to 11,605 and 20,233

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Solution

The third proportional to 11,605 and 20,233 is: 35,275.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,605 : 20,233 = 20,233 : x
  2. Step 2: Convert to fraction form
    11,605/20,233 = 20,233/x
  3. Step 3: Cross multiply
    11,605x = 20,233 × 20,233
  4. Step 4: Simplify right side
    11,605x = 409,374,289
  5. Step 5: Solve for x
    x = 409,374,289/11,605
  6. Step 6: Final answer
    x = 35,275.68

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.