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Finding the Third Proportional to 201,272 and 434,073

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Solution

The third proportional to 201,272 and 434,073 is: 936,142.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,272 : 434,073 = 434,073 : x
  2. Step 2: Convert to fraction form
    201,272/434,073 = 434,073/x
  3. Step 3: Cross multiply
    201,272x = 434,073 × 434,073
  4. Step 4: Simplify right side
    201,272x = 188,419,369,329
  5. Step 5: Solve for x
    x = 188,419,369,329/201,272
  6. Step 6: Final answer
    x = 936,142.98

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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.