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Finding the Third Proportional to 99,538 and 211,844

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Solution

The third proportional to 99,538 and 211,844 is: 450,861.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,538 : 211,844 = 211,844 : x
  2. Step 2: Convert to fraction form
    99,538/211,844 = 211,844/x
  3. Step 3: Cross multiply
    99,538x = 211,844 × 211,844
  4. Step 4: Simplify right side
    99,538x = 44,877,880,336
  5. Step 5: Solve for x
    x = 44,877,880,336/99,538
  6. Step 6: Final answer
    x = 450,861.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.