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Finding the Third Proportional to 175.21 and 379.77

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Solution

The third proportional to 175.21 and 379.77 is: 823.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.21 : 379.77 = 379.77 : x
  2. Step 2: Convert to fraction form
    175.21/379.77 = 379.77/x
  3. Step 3: Cross multiply
    175.21x = 379.77 × 379.77
  4. Step 4: Simplify right side
    175.21x = 144,222.67
  5. Step 5: Solve for x
    x = 144,222.67/175.21
  6. Step 6: Final answer
    x = 823.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.