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Finding the Third Proportional to 349.10 and 622.27

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Solution

The third proportional to 349.10 and 622.27 is: 1,109.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.10 : 622.27 = 622.27 : x
  2. Step 2: Convert to fraction form
    349.10/622.27 = 622.27/x
  3. Step 3: Cross multiply
    349.10x = 622.27 × 622.27
  4. Step 4: Simplify right side
    349.10x = 387,214.51
  5. Step 5: Solve for x
    x = 387,214.51/349.10
  6. Step 6: Final answer
    x = 1,109.17

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.