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Finding the Third Proportional to 268,170 and 397,616

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Solution

The third proportional to 268,170 and 397,616 is: 589,545.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,170 : 397,616 = 397,616 : x
  2. Step 2: Convert to fraction form
    268,170/397,616 = 397,616/x
  3. Step 3: Cross multiply
    268,170x = 397,616 × 397,616
  4. Step 4: Simplify right side
    268,170x = 158,098,483,456
  5. Step 5: Solve for x
    x = 158,098,483,456/268,170
  6. Step 6: Final answer
    x = 589,545.75

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.