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Finding the Third Proportional to 198,334 and 436,032

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Solution

The third proportional to 198,334 and 436,032 is: 958,604.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,334 : 436,032 = 436,032 : x
  2. Step 2: Convert to fraction form
    198,334/436,032 = 436,032/x
  3. Step 3: Cross multiply
    198,334x = 436,032 × 436,032
  4. Step 4: Simplify right side
    198,334x = 190,123,905,024
  5. Step 5: Solve for x
    x = 190,123,905,024/198,334
  6. Step 6: Final answer
    x = 958,604.70

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.