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Finding the Third Proportional to 204,318 and 433,208

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Solution

The third proportional to 204,318 and 433,208 is: 918,515.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,318 : 433,208 = 433,208 : x
  2. Step 2: Convert to fraction form
    204,318/433,208 = 433,208/x
  3. Step 3: Cross multiply
    204,318x = 433,208 × 433,208
  4. Step 4: Simplify right side
    204,318x = 187,669,171,264
  5. Step 5: Solve for x
    x = 187,669,171,264/204,318
  6. Step 6: Final answer
    x = 918,515.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.