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Finding the Third Proportional to 20,840 and 45,493

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Solution

The third proportional to 20,840 and 45,493 is: 99,309.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,840 : 45,493 = 45,493 : x
  2. Step 2: Convert to fraction form
    20,840/45,493 = 45,493/x
  3. Step 3: Cross multiply
    20,840x = 45,493 × 45,493
  4. Step 4: Simplify right side
    20,840x = 2,069,613,049
  5. Step 5: Solve for x
    x = 2,069,613,049/20,840
  6. Step 6: Final answer
    x = 99,309.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.