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Finding the Third Proportional to 13,385 and 21,212

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Solution

The third proportional to 13,385 and 21,212 is: 33,615.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,385 : 21,212 = 21,212 : x
  2. Step 2: Convert to fraction form
    13,385/21,212 = 21,212/x
  3. Step 3: Cross multiply
    13,385x = 21,212 × 21,212
  4. Step 4: Simplify right side
    13,385x = 449,948,944
  5. Step 5: Solve for x
    x = 449,948,944/13,385
  6. Step 6: Final answer
    x = 33,615.91

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.