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Finding the Third Proportional to 201,721 and 434,563

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Solution

The third proportional to 201,721 and 434,563 is: 936,169.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,721 : 434,563 = 434,563 : x
  2. Step 2: Convert to fraction form
    201,721/434,563 = 434,563/x
  3. Step 3: Cross multiply
    201,721x = 434,563 × 434,563
  4. Step 4: Simplify right side
    201,721x = 188,845,000,969
  5. Step 5: Solve for x
    x = 188,845,000,969/201,721
  6. Step 6: Final answer
    x = 936,169.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.