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Finding the Third Proportional to 201,292 and 434,109

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Solution

The third proportional to 201,292 and 434,109 is: 936,205.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,292 : 434,109 = 434,109 : x
  2. Step 2: Convert to fraction form
    201,292/434,109 = 434,109/x
  3. Step 3: Cross multiply
    201,292x = 434,109 × 434,109
  4. Step 4: Simplify right side
    201,292x = 188,450,623,881
  5. Step 5: Solve for x
    x = 188,450,623,881/201,292
  6. Step 6: Final answer
    x = 936,205.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.