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Finding the Third Proportional to 100,707 and 222,369

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Solution

The third proportional to 100,707 and 222,369 is: 491,008.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,707 : 222,369 = 222,369 : x
  2. Step 2: Convert to fraction form
    100,707/222,369 = 222,369/x
  3. Step 3: Cross multiply
    100,707x = 222,369 × 222,369
  4. Step 4: Simplify right side
    100,707x = 49,447,972,161
  5. Step 5: Solve for x
    x = 49,447,972,161/100,707
  6. Step 6: Final answer
    x = 491,008.29

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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.