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Finding the Third Proportional to 170,622 and 398,728

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Solution

The third proportional to 170,622 and 398,728 is: 931,790.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,622 : 398,728 = 398,728 : x
  2. Step 2: Convert to fraction form
    170,622/398,728 = 398,728/x
  3. Step 3: Cross multiply
    170,622x = 398,728 × 398,728
  4. Step 4: Simplify right side
    170,622x = 158,984,017,984
  5. Step 5: Solve for x
    x = 158,984,017,984/170,622
  6. Step 6: Final answer
    x = 931,790.85

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.