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Finding the Third Proportional to 13,203 and 21,231

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Solution

The third proportional to 13,203 and 21,231 is: 34,140.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,203 : 21,231 = 21,231 : x
  2. Step 2: Convert to fraction form
    13,203/21,231 = 21,231/x
  3. Step 3: Cross multiply
    13,203x = 21,231 × 21,231
  4. Step 4: Simplify right side
    13,203x = 450,755,361
  5. Step 5: Solve for x
    x = 450,755,361/13,203
  6. Step 6: Final answer
    x = 34,140.37

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.