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Finding the Third Proportional to 203,546 and 434,145

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Solution

The third proportional to 203,546 and 434,145 is: 925,991.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,546 : 434,145 = 434,145 : x
  2. Step 2: Convert to fraction form
    203,546/434,145 = 434,145/x
  3. Step 3: Cross multiply
    203,546x = 434,145 × 434,145
  4. Step 4: Simplify right side
    203,546x = 188,481,881,025
  5. Step 5: Solve for x
    x = 188,481,881,025/203,546
  6. Step 6: Final answer
    x = 925,991.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.