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Finding the Third Proportional to 576.70 and 622.27

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Solution

The third proportional to 576.70 and 622.27 is: 671.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.70 : 622.27 = 622.27 : x
  2. Step 2: Convert to fraction form
    576.70/622.27 = 622.27/x
  3. Step 3: Cross multiply
    576.70x = 622.27 × 622.27
  4. Step 4: Simplify right side
    576.70x = 387,214.51
  5. Step 5: Solve for x
    x = 387,214.51/576.70
  6. Step 6: Final answer
    x = 671.43

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.