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Finding the Third Proportional to 198,632 and 277,848

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Solution

The third proportional to 198,632 and 277,848 is: 388,655.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,632 : 277,848 = 277,848 : x
  2. Step 2: Convert to fraction form
    198,632/277,848 = 277,848/x
  3. Step 3: Cross multiply
    198,632x = 277,848 × 277,848
  4. Step 4: Simplify right side
    198,632x = 77,199,511,104
  5. Step 5: Solve for x
    x = 77,199,511,104/198,632
  6. Step 6: Final answer
    x = 388,655.96

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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.