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Finding the Third Proportional to 311.48 and 674.58

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Solution

The third proportional to 311.48 and 674.58 is: 1,460.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.48 : 674.58 = 674.58 : x
  2. Step 2: Convert to fraction form
    311.48/674.58 = 674.58/x
  3. Step 3: Cross multiply
    311.48x = 674.58 × 674.58
  4. Step 4: Simplify right side
    311.48x = 455,055.65
  5. Step 5: Solve for x
    x = 455,055.65/311.48
  6. Step 6: Final answer
    x = 1,460.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.