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Finding the Third Proportional to 18,617 and 36,299

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Solution

The third proportional to 18,617 and 36,299 is: 70,774.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,617 : 36,299 = 36,299 : x
  2. Step 2: Convert to fraction form
    18,617/36,299 = 36,299/x
  3. Step 3: Cross multiply
    18,617x = 36,299 × 36,299
  4. Step 4: Simplify right side
    18,617x = 1,317,617,401
  5. Step 5: Solve for x
    x = 1,317,617,401/18,617
  6. Step 6: Final answer
    x = 70,774.96

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.