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Finding the Third Proportional to 312.66 and 670.88

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Solution

The third proportional to 312.66 and 670.88 is: 1,439.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.66 : 670.88 = 670.88 : x
  2. Step 2: Convert to fraction form
    312.66/670.88 = 670.88/x
  3. Step 3: Cross multiply
    312.66x = 670.88 × 670.88
  4. Step 4: Simplify right side
    312.66x = 450,073.27
  5. Step 5: Solve for x
    x = 450,073.27/312.66
  6. Step 6: Final answer
    x = 1,439.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.