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Finding the Third Proportional to 192,572 and 397,414

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Solution

The third proportional to 192,572 and 397,414 is: 820,149.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,572 : 397,414 = 397,414 : x
  2. Step 2: Convert to fraction form
    192,572/397,414 = 397,414/x
  3. Step 3: Cross multiply
    192,572x = 397,414 × 397,414
  4. Step 4: Simplify right side
    192,572x = 157,937,887,396
  5. Step 5: Solve for x
    x = 157,937,887,396/192,572
  6. Step 6: Final answer
    x = 820,149.80

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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.