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Finding the Third Proportional to 183,728 and 397,905

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Solution

The third proportional to 183,728 and 397,905 is: 861,754.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,728 : 397,905 = 397,905 : x
  2. Step 2: Convert to fraction form
    183,728/397,905 = 397,905/x
  3. Step 3: Cross multiply
    183,728x = 397,905 × 397,905
  4. Step 4: Simplify right side
    183,728x = 158,328,389,025
  5. Step 5: Solve for x
    x = 158,328,389,025/183,728
  6. Step 6: Final answer
    x = 861,754.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.