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Finding the Third Proportional to 198,612 and 307,728

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Solution

The third proportional to 198,612 and 307,728 is: 476,791.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,612 : 307,728 = 307,728 : x
  2. Step 2: Convert to fraction form
    198,612/307,728 = 307,728/x
  3. Step 3: Cross multiply
    198,612x = 307,728 × 307,728
  4. Step 4: Simplify right side
    198,612x = 94,696,521,984
  5. Step 5: Solve for x
    x = 94,696,521,984/198,612
  6. Step 6: Final answer
    x = 476,791.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.