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Finding the Third Proportional to 147,389 and 222,305

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Solution

The third proportional to 147,389 and 222,305 is: 335,299.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,389 : 222,305 = 222,305 : x
  2. Step 2: Convert to fraction form
    147,389/222,305 = 222,305/x
  3. Step 3: Cross multiply
    147,389x = 222,305 × 222,305
  4. Step 4: Simplify right side
    147,389x = 49,419,513,025
  5. Step 5: Solve for x
    x = 49,419,513,025/147,389
  6. Step 6: Final answer
    x = 335,299.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.