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Finding the Third Proportional to 192,574 and 397,418

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Solution

The third proportional to 192,574 and 397,418 is: 820,157.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,574 : 397,418 = 397,418 : x
  2. Step 2: Convert to fraction form
    192,574/397,418 = 397,418/x
  3. Step 3: Cross multiply
    192,574x = 397,418 × 397,418
  4. Step 4: Simplify right side
    192,574x = 157,941,066,724
  5. Step 5: Solve for x
    x = 157,941,066,724/192,574
  6. Step 6: Final answer
    x = 820,157.79

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.