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Finding the Third Proportional to 18,617 and 40,517

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Solution

The third proportional to 18,617 and 40,517 is: 88,178.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,617 : 40,517 = 40,517 : x
  2. Step 2: Convert to fraction form
    18,617/40,517 = 40,517/x
  3. Step 3: Cross multiply
    18,617x = 40,517 × 40,517
  4. Step 4: Simplify right side
    18,617x = 1,641,627,289
  5. Step 5: Solve for x
    x = 1,641,627,289/18,617
  6. Step 6: Final answer
    x = 88,178.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.