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Finding the Third Proportional to 313.42 and 487.22

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Solution

The third proportional to 313.42 and 487.22 is: 757.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.42 : 487.22 = 487.22 : x
  2. Step 2: Convert to fraction form
    313.42/487.22 = 487.22/x
  3. Step 3: Cross multiply
    313.42x = 487.22 × 487.22
  4. Step 4: Simplify right side
    313.42x = 237,379.61
  5. Step 5: Solve for x
    x = 237,379.61/313.42
  6. Step 6: Final answer
    x = 757.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.