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Finding the Third Proportional to 314.72 and 674.79

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Solution

The third proportional to 314.72 and 674.79 is: 1,446.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.72 : 674.79 = 674.79 : x
  2. Step 2: Convert to fraction form
    314.72/674.79 = 674.79/x
  3. Step 3: Cross multiply
    314.72x = 674.79 × 674.79
  4. Step 4: Simplify right side
    314.72x = 455,340.28
  5. Step 5: Solve for x
    x = 455,340.28/314.72
  6. Step 6: Final answer
    x = 1,446.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.