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Finding the Third Proportional to 8,884 and 13,817

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Solution

The third proportional to 8,884 and 13,817 is: 21,489.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,884 : 13,817 = 13,817 : x
  2. Step 2: Convert to fraction form
    8,884/13,817 = 13,817/x
  3. Step 3: Cross multiply
    8,884x = 13,817 × 13,817
  4. Step 4: Simplify right side
    8,884x = 190,909,489
  5. Step 5: Solve for x
    x = 190,909,489/8,884
  6. Step 6: Final answer
    x = 21,489.14

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.