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Finding the Third Proportional to 99,827 and 218,410

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Solution

The third proportional to 99,827 and 218,410 is: 477,855.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,827 : 218,410 = 218,410 : x
  2. Step 2: Convert to fraction form
    99,827/218,410 = 218,410/x
  3. Step 3: Cross multiply
    99,827x = 218,410 × 218,410
  4. Step 4: Simplify right side
    99,827x = 47,702,928,100
  5. Step 5: Solve for x
    x = 47,702,928,100/99,827
  6. Step 6: Final answer
    x = 477,855.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.