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Finding the Third Proportional to 407.21 and 622.21

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Solution

The third proportional to 407.21 and 622.21 is: 950.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.21 : 622.21 = 622.21 : x
  2. Step 2: Convert to fraction form
    407.21/622.21 = 622.21/x
  3. Step 3: Cross multiply
    407.21x = 622.21 × 622.21
  4. Step 4: Simplify right side
    407.21x = 387,148.88
  5. Step 5: Solve for x
    x = 387,148.88/407.21
  6. Step 6: Final answer
    x = 950.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.