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Finding the Third Proportional to 313.56 and 558.46

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Solution

The third proportional to 313.56 and 558.46 is: 994.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.56 : 558.46 = 558.46 : x
  2. Step 2: Convert to fraction form
    313.56/558.46 = 558.46/x
  3. Step 3: Cross multiply
    313.56x = 558.46 × 558.46
  4. Step 4: Simplify right side
    313.56x = 311,874.26
  5. Step 5: Solve for x
    x = 311,874.26/313.56
  6. Step 6: Final answer
    x = 994.63

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.