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Finding the Third Proportional to 13,638 and 28,927

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Solution

The third proportional to 13,638 and 28,927 is: 61,355.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,638 : 28,927 = 28,927 : x
  2. Step 2: Convert to fraction form
    13,638/28,927 = 28,927/x
  3. Step 3: Cross multiply
    13,638x = 28,927 × 28,927
  4. Step 4: Simplify right side
    13,638x = 836,771,329
  5. Step 5: Solve for x
    x = 836,771,329/13,638
  6. Step 6: Final answer
    x = 61,355.87

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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.