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Finding the Third Proportional to 198,612 and 277,824

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Solution

The third proportional to 198,612 and 277,824 is: 388,627.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,612 : 277,824 = 277,824 : x
  2. Step 2: Convert to fraction form
    198,612/277,824 = 277,824/x
  3. Step 3: Cross multiply
    198,612x = 277,824 × 277,824
  4. Step 4: Simplify right side
    198,612x = 77,186,174,976
  5. Step 5: Solve for x
    x = 77,186,174,976/198,612
  6. Step 6: Final answer
    x = 388,627.95

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.