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Finding the Third Proportional to 178.22 and 383.03

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Solution

The third proportional to 178.22 and 383.03 is: 823.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.22 : 383.03 = 383.03 : x
  2. Step 2: Convert to fraction form
    178.22/383.03 = 383.03/x
  3. Step 3: Cross multiply
    178.22x = 383.03 × 383.03
  4. Step 4: Simplify right side
    178.22x = 146,712.94
  5. Step 5: Solve for x
    x = 146,712.94/178.22
  6. Step 6: Final answer
    x = 823.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.