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Finding the Third Proportional to 187,413 and 396,561

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Solution

The third proportional to 187,413 and 396,561 is: 839,112.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,413 : 396,561 = 396,561 : x
  2. Step 2: Convert to fraction form
    187,413/396,561 = 396,561/x
  3. Step 3: Cross multiply
    187,413x = 396,561 × 396,561
  4. Step 4: Simplify right side
    187,413x = 157,260,626,721
  5. Step 5: Solve for x
    x = 157,260,626,721/187,413
  6. Step 6: Final answer
    x = 839,112.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.