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Finding the Third Proportional to 187.23 and 389.42

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Solution

The third proportional to 187.23 and 389.42 is: 809.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.23 : 389.42 = 389.42 : x
  2. Step 2: Convert to fraction form
    187.23/389.42 = 389.42/x
  3. Step 3: Cross multiply
    187.23x = 389.42 × 389.42
  4. Step 4: Simplify right side
    187.23x = 151,645.59
  5. Step 5: Solve for x
    x = 151,645.59/187.23
  6. Step 6: Final answer
    x = 809.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.