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Finding the Third Proportional to 100,311.38 and 222,766.13

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Solution

The third proportional to 100,311.38 and 222,766.13 is: 494,707.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,311.38 : 222,766.13 = 222,766.13 : x
  2. Step 2: Convert to fraction form
    100,311.38/222,766.13 = 222,766.13/x
  3. Step 3: Cross multiply
    100,311.38x = 222,766.13 × 222,766.13
  4. Step 4: Simplify right side
    100,311.38x = 49,624,746,447.52
  5. Step 5: Solve for x
    x = 49,624,746,447.52/100,311.38
  6. Step 6: Final answer
    x = 494,707.07

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.