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Finding the Third Proportional to 100,611 and 207,702

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Solution

The third proportional to 100,611 and 207,702 is: 428,781.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,611 : 207,702 = 207,702 : x
  2. Step 2: Convert to fraction form
    100,611/207,702 = 207,702/x
  3. Step 3: Cross multiply
    100,611x = 207,702 × 207,702
  4. Step 4: Simplify right side
    100,611x = 43,140,120,804
  5. Step 5: Solve for x
    x = 43,140,120,804/100,611
  6. Step 6: Final answer
    x = 428,781.35

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.