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Finding the Third Proportional to 245.36 and 343.87

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Solution

The third proportional to 245.36 and 343.87 is: 481.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.36 : 343.87 = 343.87 : x
  2. Step 2: Convert to fraction form
    245.36/343.87 = 343.87/x
  3. Step 3: Cross multiply
    245.36x = 343.87 × 343.87
  4. Step 4: Simplify right side
    245.36x = 118,244.64
  5. Step 5: Solve for x
    x = 118,244.64/245.36
  6. Step 6: Final answer
    x = 481.92

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.