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Finding the Third Proportional to 198,916 and 432,812

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Solution

The third proportional to 198,916 and 432,812 is: 941,735.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,916 : 432,812 = 432,812 : x
  2. Step 2: Convert to fraction form
    198,916/432,812 = 432,812/x
  3. Step 3: Cross multiply
    198,916x = 432,812 × 432,812
  4. Step 4: Simplify right side
    198,916x = 187,326,227,344
  5. Step 5: Solve for x
    x = 187,326,227,344/198,916
  6. Step 6: Final answer
    x = 941,735.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.