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Finding the Third Proportional to 100,461 and 221,009

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Solution

The third proportional to 100,461 and 221,009 is: 486,208.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,461 : 221,009 = 221,009 : x
  2. Step 2: Convert to fraction form
    100,461/221,009 = 221,009/x
  3. Step 3: Cross multiply
    100,461x = 221,009 × 221,009
  4. Step 4: Simplify right side
    100,461x = 48,844,978,081
  5. Step 5: Solve for x
    x = 48,844,978,081/100,461
  6. Step 6: Final answer
    x = 486,208.36

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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.