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Finding the Third Proportional to 203,575 and 434,201

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Solution

The third proportional to 203,575 and 434,201 is: 926,098.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,575 : 434,201 = 434,201 : x
  2. Step 2: Convert to fraction form
    203,575/434,201 = 434,201/x
  3. Step 3: Cross multiply
    203,575x = 434,201 × 434,201
  4. Step 4: Simplify right side
    203,575x = 188,530,508,401
  5. Step 5: Solve for x
    x = 188,530,508,401/203,575
  6. Step 6: Final answer
    x = 926,098.53

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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.