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Finding the Third Proportional to 198,586 and 277,791

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Solution

The third proportional to 198,586 and 277,791 is: 388,586.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,586 : 277,791 = 277,791 : x
  2. Step 2: Convert to fraction form
    198,586/277,791 = 277,791/x
  3. Step 3: Cross multiply
    198,586x = 277,791 × 277,791
  4. Step 4: Simplify right side
    198,586x = 77,167,839,681
  5. Step 5: Solve for x
    x = 77,167,839,681/198,586
  6. Step 6: Final answer
    x = 388,586.50

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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.