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Finding the Third Proportional to 412.20 and 626.84

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Solution

The third proportional to 412.20 and 626.84 is: 953.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.20 : 626.84 = 626.84 : x
  2. Step 2: Convert to fraction form
    412.20/626.84 = 626.84/x
  3. Step 3: Cross multiply
    412.20x = 626.84 × 626.84
  4. Step 4: Simplify right side
    412.20x = 392,928.80
  5. Step 5: Solve for x
    x = 392,928.80/412.20
  6. Step 6: Final answer
    x = 953.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.