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Finding the Third Proportional to 195.12 and 412.80

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Solution

The third proportional to 195.12 and 412.80 is: 873.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.12 : 412.80 = 412.80 : x
  2. Step 2: Convert to fraction form
    195.12/412.80 = 412.80/x
  3. Step 3: Cross multiply
    195.12x = 412.80 × 412.80
  4. Step 4: Simplify right side
    195.12x = 170,407.71
  5. Step 5: Solve for x
    x = 170,407.71/195.12
  6. Step 6: Final answer
    x = 873.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.