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Finding the Third Proportional to 13,213.13 and 20,446.17

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Solution

The third proportional to 13,213.13 and 20,446.17 is: 31,638.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,213.13 : 20,446.17 = 20,446.17 : x
  2. Step 2: Convert to fraction form
    13,213.13/20,446.17 = 20,446.17/x
  3. Step 3: Cross multiply
    13,213.13x = 20,446.17 × 20,446.17
  4. Step 4: Simplify right side
    13,213.13x = 418,045,944.34
  5. Step 5: Solve for x
    x = 418,045,944.34/13,213.13
  6. Step 6: Final answer
    x = 31,638.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.