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Finding the Third Proportional to 187,037 and 398,505

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Solution

The third proportional to 187,037 and 398,505 is: 849,063.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,037 : 398,505 = 398,505 : x
  2. Step 2: Convert to fraction form
    187,037/398,505 = 398,505/x
  3. Step 3: Cross multiply
    187,037x = 398,505 × 398,505
  4. Step 4: Simplify right side
    187,037x = 158,806,235,025
  5. Step 5: Solve for x
    x = 158,806,235,025/187,037
  6. Step 6: Final answer
    x = 849,063.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.