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Finding the Third Proportional to 100,949.50 and 218,620

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Solution

The third proportional to 100,949.50 and 218,620 is: 473,451.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,949.50 : 218,620 = 218,620 : x
  2. Step 2: Convert to fraction form
    100,949.50/218,620 = 218,620/x
  3. Step 3: Cross multiply
    100,949.50x = 218,620 × 218,620
  4. Step 4: Simplify right side
    100,949.50x = 47,794,704,400
  5. Step 5: Solve for x
    x = 47,794,704,400/100,949.50
  6. Step 6: Final answer
    x = 473,451.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.