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Finding the Third Proportional to 312.19 and 611.72

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Solution

The third proportional to 312.19 and 611.72 is: 1,198.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.19 : 611.72 = 611.72 : x
  2. Step 2: Convert to fraction form
    312.19/611.72 = 611.72/x
  3. Step 3: Cross multiply
    312.19x = 611.72 × 611.72
  4. Step 4: Simplify right side
    312.19x = 374,199.83
  5. Step 5: Solve for x
    x = 374,199.83/312.19
  6. Step 6: Final answer
    x = 1,198.64

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.