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Finding the Third Proportional to 102,196 and 222,392

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Solution

The third proportional to 102,196 and 222,392 is: 483,954.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,196 : 222,392 = 222,392 : x
  2. Step 2: Convert to fraction form
    102,196/222,392 = 222,392/x
  3. Step 3: Cross multiply
    102,196x = 222,392 × 222,392
  4. Step 4: Simplify right side
    102,196x = 49,458,201,664
  5. Step 5: Solve for x
    x = 49,458,201,664/102,196
  6. Step 6: Final answer
    x = 483,954.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.