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Finding the Third Proportional to 100,631 and 220,702

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Solution

The third proportional to 100,631 and 220,702 is: 484,039.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,631 : 220,702 = 220,702 : x
  2. Step 2: Convert to fraction form
    100,631/220,702 = 220,702/x
  3. Step 3: Cross multiply
    100,631x = 220,702 × 220,702
  4. Step 4: Simplify right side
    100,631x = 48,709,372,804
  5. Step 5: Solve for x
    x = 48,709,372,804/100,631
  6. Step 6: Final answer
    x = 484,039.44

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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.