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Finding the Third Proportional to 313.13 and 480.56

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Solution

The third proportional to 313.13 and 480.56 is: 737.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.13 : 480.56 = 480.56 : x
  2. Step 2: Convert to fraction form
    313.13/480.56 = 480.56/x
  3. Step 3: Cross multiply
    313.13x = 480.56 × 480.56
  4. Step 4: Simplify right side
    313.13x = 230,940.32
  5. Step 5: Solve for x
    x = 230,940.32/313.13
  6. Step 6: Final answer
    x = 737.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.