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Finding the Third Proportional to 177.03 and 386.33

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Solution

The third proportional to 177.03 and 386.33 is: 843.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.03 : 386.33 = 386.33 : x
  2. Step 2: Convert to fraction form
    177.03/386.33 = 386.33/x
  3. Step 3: Cross multiply
    177.03x = 386.33 × 386.33
  4. Step 4: Simplify right side
    177.03x = 149,252.44
  5. Step 5: Solve for x
    x = 149,252.44/177.03
  6. Step 6: Final answer
    x = 843.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.