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Finding the Third Proportional to 187,410 and 396,555

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Solution

The third proportional to 187,410 and 396,555 is: 839,100.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,410 : 396,555 = 396,555 : x
  2. Step 2: Convert to fraction form
    187,410/396,555 = 396,555/x
  3. Step 3: Cross multiply
    187,410x = 396,555 × 396,555
  4. Step 4: Simplify right side
    187,410x = 157,255,868,025
  5. Step 5: Solve for x
    x = 157,255,868,025/187,410
  6. Step 6: Final answer
    x = 839,100.73

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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.