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Finding the Third Proportional to 412.20 and 953.61

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Solution

The third proportional to 412.20 and 953.61 is: 2,206.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.20 : 953.61 = 953.61 : x
  2. Step 2: Convert to fraction form
    412.20/953.61 = 953.61/x
  3. Step 3: Cross multiply
    412.20x = 953.61 × 953.61
  4. Step 4: Simplify right side
    412.20x = 909,369.91
  5. Step 5: Solve for x
    x = 909,369.91/412.20
  6. Step 6: Final answer
    x = 2,206.15

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.