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Finding the Third Proportional to 8,617 and 18,254

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Solution

The third proportional to 8,617 and 18,254 is: 38,668.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,617 : 18,254 = 18,254 : x
  2. Step 2: Convert to fraction form
    8,617/18,254 = 18,254/x
  3. Step 3: Cross multiply
    8,617x = 18,254 × 18,254
  4. Step 4: Simplify right side
    8,617x = 333,208,516
  5. Step 5: Solve for x
    x = 333,208,516/8,617
  6. Step 6: Final answer
    x = 38,668.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.