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Finding the Third Proportional to 198,728 and 295,392

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Solution

The third proportional to 198,728 and 295,392 is: 439,074.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,728 : 295,392 = 295,392 : x
  2. Step 2: Convert to fraction form
    198,728/295,392 = 295,392/x
  3. Step 3: Cross multiply
    198,728x = 295,392 × 295,392
  4. Step 4: Simplify right side
    198,728x = 87,256,433,664
  5. Step 5: Solve for x
    x = 87,256,433,664/198,728
  6. Step 6: Final answer
    x = 439,074.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.