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Finding the Third Proportional to 203,832 and 432,330

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Solution

The third proportional to 203,832 and 432,330 is: 916,976.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,832 : 432,330 = 432,330 : x
  2. Step 2: Convert to fraction form
    203,832/432,330 = 432,330/x
  3. Step 3: Cross multiply
    203,832x = 432,330 × 432,330
  4. Step 4: Simplify right side
    203,832x = 186,909,228,900
  5. Step 5: Solve for x
    x = 186,909,228,900/203,832
  6. Step 6: Final answer
    x = 916,976.87

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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.