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Finding the Third Proportional to 100,843 and 221,365

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Solution

The third proportional to 100,843 and 221,365 is: 485,928.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,843 : 221,365 = 221,365 : x
  2. Step 2: Convert to fraction form
    100,843/221,365 = 221,365/x
  3. Step 3: Cross multiply
    100,843x = 221,365 × 221,365
  4. Step 4: Simplify right side
    100,843x = 49,002,463,225
  5. Step 5: Solve for x
    x = 49,002,463,225/100,843
  6. Step 6: Final answer
    x = 485,928.26

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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.