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Finding the Third Proportional to 101,243 and 221,555

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Solution

The third proportional to 101,243 and 221,555 is: 484,839.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,243 : 221,555 = 221,555 : x
  2. Step 2: Convert to fraction form
    101,243/221,555 = 221,555/x
  3. Step 3: Cross multiply
    101,243x = 221,555 × 221,555
  4. Step 4: Simplify right side
    101,243x = 49,086,618,025
  5. Step 5: Solve for x
    x = 49,086,618,025/101,243
  6. Step 6: Final answer
    x = 484,839.62

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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.