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Finding the Third Proportional to 13,446 and 20,457

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Solution

The third proportional to 13,446 and 20,457 is: 31,123.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,446 : 20,457 = 20,457 : x
  2. Step 2: Convert to fraction form
    13,446/20,457 = 20,457/x
  3. Step 3: Cross multiply
    13,446x = 20,457 × 20,457
  4. Step 4: Simplify right side
    13,446x = 418,488,849
  5. Step 5: Solve for x
    x = 418,488,849/13,446
  6. Step 6: Final answer
    x = 31,123.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.