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Finding the Third Proportional to 20,806 and 45,356

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Solution

The third proportional to 20,806 and 45,356 is: 98,873.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,806 : 45,356 = 45,356 : x
  2. Step 2: Convert to fraction form
    20,806/45,356 = 45,356/x
  3. Step 3: Cross multiply
    20,806x = 45,356 × 45,356
  4. Step 4: Simplify right side
    20,806x = 2,057,166,736
  5. Step 5: Solve for x
    x = 2,057,166,736/20,806
  6. Step 6: Final answer
    x = 98,873.73

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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.