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Finding the Third Proportional to 180,957 and 397,605

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Solution

The third proportional to 180,957 and 397,605 is: 873,631.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,957 : 397,605 = 397,605 : x
  2. Step 2: Convert to fraction form
    180,957/397,605 = 397,605/x
  3. Step 3: Cross multiply
    180,957x = 397,605 × 397,605
  4. Step 4: Simplify right side
    180,957x = 158,089,736,025
  5. Step 5: Solve for x
    x = 158,089,736,025/180,957
  6. Step 6: Final answer
    x = 873,631.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.