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Finding the Third Proportional to 20,711 and 45,100

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Solution

The third proportional to 20,711 and 45,100 is: 98,209.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,711 : 45,100 = 45,100 : x
  2. Step 2: Convert to fraction form
    20,711/45,100 = 45,100/x
  3. Step 3: Cross multiply
    20,711x = 45,100 × 45,100
  4. Step 4: Simplify right side
    20,711x = 2,034,010,000
  5. Step 5: Solve for x
    x = 2,034,010,000/20,711
  6. Step 6: Final answer
    x = 98,209.16

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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.