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Finding the Third Proportional to 173.90 and 270.82

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Solution

The third proportional to 173.90 and 270.82 is: 421.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.90 : 270.82 = 270.82 : x
  2. Step 2: Convert to fraction form
    173.90/270.82 = 270.82/x
  3. Step 3: Cross multiply
    173.90x = 270.82 × 270.82
  4. Step 4: Simplify right side
    173.90x = 73,343.64
  5. Step 5: Solve for x
    x = 73,343.64/173.90
  6. Step 6: Final answer
    x = 421.76

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.