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Finding the Third Proportional to 313.31 and 451.31

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Solution

The third proportional to 313.31 and 451.31 is: 650.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.31 : 451.31 = 451.31 : x
  2. Step 2: Convert to fraction form
    313.31/451.31 = 451.31/x
  3. Step 3: Cross multiply
    313.31x = 451.31 × 451.31
  4. Step 4: Simplify right side
    313.31x = 203,682.97
  5. Step 5: Solve for x
    x = 203,682.97/313.31
  6. Step 6: Final answer
    x = 650.10

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.