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Finding the Third Proportional to 99,714 and 220,156

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Solution

The third proportional to 99,714 and 220,156 is: 486,076.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,714 : 220,156 = 220,156 : x
  2. Step 2: Convert to fraction form
    99,714/220,156 = 220,156/x
  3. Step 3: Cross multiply
    99,714x = 220,156 × 220,156
  4. Step 4: Simplify right side
    99,714x = 48,468,664,336
  5. Step 5: Solve for x
    x = 48,468,664,336/99,714
  6. Step 6: Final answer
    x = 486,076.82

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.