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Finding the Third Proportional to 99,567 and 218,817

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Solution

The third proportional to 99,567 and 218,817 is: 480,891.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,567 : 218,817 = 218,817 : x
  2. Step 2: Convert to fraction form
    99,567/218,817 = 218,817/x
  3. Step 3: Cross multiply
    99,567x = 218,817 × 218,817
  4. Step 4: Simplify right side
    99,567x = 47,880,879,489
  5. Step 5: Solve for x
    x = 47,880,879,489/99,567
  6. Step 6: Final answer
    x = 480,891.05

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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.