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Finding the Third Proportional to 100,459 and 221,005

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Solution

The third proportional to 100,459 and 221,005 is: 486,200.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,459 : 221,005 = 221,005 : x
  2. Step 2: Convert to fraction form
    100,459/221,005 = 221,005/x
  3. Step 3: Cross multiply
    100,459x = 221,005 × 221,005
  4. Step 4: Simplify right side
    100,459x = 48,843,210,025
  5. Step 5: Solve for x
    x = 48,843,210,025/100,459
  6. Step 6: Final answer
    x = 486,200.44

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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.