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Finding the Third Proportional to 300.80 and 650.95

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Solution

The third proportional to 300.80 and 650.95 is: 1,408.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.80 : 650.95 = 650.95 : x
  2. Step 2: Convert to fraction form
    300.80/650.95 = 650.95/x
  3. Step 3: Cross multiply
    300.80x = 650.95 × 650.95
  4. Step 4: Simplify right side
    300.80x = 423,739.97
  5. Step 5: Solve for x
    x = 423,739.97/300.80
  6. Step 6: Final answer
    x = 1,408.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.