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Finding the Third Proportional to 20,809.50 and 45,861

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Solution

The third proportional to 20,809.50 and 45,861 is: 101,070.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,809.50 : 45,861 = 45,861 : x
  2. Step 2: Convert to fraction form
    20,809.50/45,861 = 45,861/x
  3. Step 3: Cross multiply
    20,809.50x = 45,861 × 45,861
  4. Step 4: Simplify right side
    20,809.50x = 2,103,231,321
  5. Step 5: Solve for x
    x = 2,103,231,321/20,809.50
  6. Step 6: Final answer
    x = 101,070.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.