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Finding the Third Proportional to 8,917 and 13,613

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Solution

The third proportional to 8,917 and 13,613 is: 20,782.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,917 : 13,613 = 13,613 : x
  2. Step 2: Convert to fraction form
    8,917/13,613 = 13,613/x
  3. Step 3: Cross multiply
    8,917x = 13,613 × 13,613
  4. Step 4: Simplify right side
    8,917x = 185,313,769
  5. Step 5: Solve for x
    x = 185,313,769/8,917
  6. Step 6: Final answer
    x = 20,782.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.