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Finding the Third Proportional to 157.36 and 343.41

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Solution

The third proportional to 157.36 and 343.41 is: 749.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.36 : 343.41 = 343.41 : x
  2. Step 2: Convert to fraction form
    157.36/343.41 = 343.41/x
  3. Step 3: Cross multiply
    157.36x = 343.41 × 343.41
  4. Step 4: Simplify right side
    157.36x = 117,927.85
  5. Step 5: Solve for x
    x = 117,927.85/157.36
  6. Step 6: Final answer
    x = 749.42

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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.