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Finding the Third Proportional to 314.75 and 667.63

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Solution

The third proportional to 314.75 and 667.63 is: 1,416.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.75 : 667.63 = 667.63 : x
  2. Step 2: Convert to fraction form
    314.75/667.63 = 667.63/x
  3. Step 3: Cross multiply
    314.75x = 667.63 × 667.63
  4. Step 4: Simplify right side
    314.75x = 445,723.14
  5. Step 5: Solve for x
    x = 445,723.14/314.75
  6. Step 6: Final answer
    x = 1,416.12

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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.