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Finding the Third Proportional to 187.45 and 399.80

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Solution

The third proportional to 187.45 and 399.80 is: 852.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.45 : 399.80 = 399.80 : x
  2. Step 2: Convert to fraction form
    187.45/399.80 = 399.80/x
  3. Step 3: Cross multiply
    187.45x = 399.80 × 399.80
  4. Step 4: Simplify right side
    187.45x = 159,837.54
  5. Step 5: Solve for x
    x = 159,837.54/187.45
  6. Step 6: Final answer
    x = 852.68

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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.