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Finding the Third Proportional to 203,829 and 432,324

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Solution

The third proportional to 203,829 and 432,324 is: 916,964.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,829 : 432,324 = 432,324 : x
  2. Step 2: Convert to fraction form
    203,829/432,324 = 432,324/x
  3. Step 3: Cross multiply
    203,829x = 432,324 × 432,324
  4. Step 4: Simplify right side
    203,829x = 186,904,040,976
  5. Step 5: Solve for x
    x = 186,904,040,976/203,829
  6. Step 6: Final answer
    x = 916,964.91

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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.