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Finding the Third Proportional to 100,769 and 221,409

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Solution

The third proportional to 100,769 and 221,409 is: 486,478.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,769 : 221,409 = 221,409 : x
  2. Step 2: Convert to fraction form
    100,769/221,409 = 221,409/x
  3. Step 3: Cross multiply
    100,769x = 221,409 × 221,409
  4. Step 4: Simplify right side
    100,769x = 49,021,945,281
  5. Step 5: Solve for x
    x = 49,021,945,281/100,769
  6. Step 6: Final answer
    x = 486,478.43

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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.