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Finding the Third Proportional to 101,344 and 222,146

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Solution

The third proportional to 101,344 and 222,146 is: 486,943.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,344 : 222,146 = 222,146 : x
  2. Step 2: Convert to fraction form
    101,344/222,146 = 222,146/x
  3. Step 3: Cross multiply
    101,344x = 222,146 × 222,146
  4. Step 4: Simplify right side
    101,344x = 49,348,845,316
  5. Step 5: Solve for x
    x = 49,348,845,316/101,344
  6. Step 6: Final answer
    x = 486,943.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.