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Finding the Third Proportional to 343.69 and 412.03

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Solution

The third proportional to 343.69 and 412.03 is: 493.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.69 : 412.03 = 412.03 : x
  2. Step 2: Convert to fraction form
    343.69/412.03 = 412.03/x
  3. Step 3: Cross multiply
    343.69x = 412.03 × 412.03
  4. Step 4: Simplify right side
    343.69x = 169,769.75
  5. Step 5: Solve for x
    x = 169,769.75/343.69
  6. Step 6: Final answer
    x = 493.97

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.