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Finding the Third Proportional to 20,457 and 28,962

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Solution

The third proportional to 20,457 and 28,962 is: 41,002.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,457 : 28,962 = 28,962 : x
  2. Step 2: Convert to fraction form
    20,457/28,962 = 28,962/x
  3. Step 3: Cross multiply
    20,457x = 28,962 × 28,962
  4. Step 4: Simplify right side
    20,457x = 838,797,444
  5. Step 5: Solve for x
    x = 838,797,444/20,457
  6. Step 6: Final answer
    x = 41,002.95

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.