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Finding the Third Proportional to 100,705 and 222,367

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Solution

The third proportional to 100,705 and 222,367 is: 491,009.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,705 : 222,367 = 222,367 : x
  2. Step 2: Convert to fraction form
    100,705/222,367 = 222,367/x
  3. Step 3: Cross multiply
    100,705x = 222,367 × 222,367
  4. Step 4: Simplify right side
    100,705x = 49,447,082,689
  5. Step 5: Solve for x
    x = 49,447,082,689/100,705
  6. Step 6: Final answer
    x = 491,009.21

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.