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Finding the Third Proportional to 201,400 and 434,327

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Solution

The third proportional to 201,400 and 434,327 is: 936,643.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,400 : 434,327 = 434,327 : x
  2. Step 2: Convert to fraction form
    201,400/434,327 = 434,327/x
  3. Step 3: Cross multiply
    201,400x = 434,327 × 434,327
  4. Step 4: Simplify right side
    201,400x = 188,639,942,929
  5. Step 5: Solve for x
    x = 188,639,942,929/201,400
  6. Step 6: Final answer
    x = 936,643.21

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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.