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Finding the Third Proportional to 177.03 and 379.57

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Solution

The third proportional to 177.03 and 379.57 is: 813.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.03 : 379.57 = 379.57 : x
  2. Step 2: Convert to fraction form
    177.03/379.57 = 379.57/x
  3. Step 3: Cross multiply
    177.03x = 379.57 × 379.57
  4. Step 4: Simplify right side
    177.03x = 144,072.51
  5. Step 5: Solve for x
    x = 144,072.51/177.03
  6. Step 6: Final answer
    x = 813.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.