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Finding the Third Proportional to 8,916 and 13,889

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Solution

The third proportional to 8,916 and 13,889 is: 21,635.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,916 : 13,889 = 13,889 : x
  2. Step 2: Convert to fraction form
    8,916/13,889 = 13,889/x
  3. Step 3: Cross multiply
    8,916x = 13,889 × 13,889
  4. Step 4: Simplify right side
    8,916x = 192,904,321
  5. Step 5: Solve for x
    x = 192,904,321/8,916
  6. Step 6: Final answer
    x = 21,635.75

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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.