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Finding the Third Proportional to 313.24 and 485.47

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Solution

The third proportional to 313.24 and 485.47 is: 752.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.24 : 485.47 = 485.47 : x
  2. Step 2: Convert to fraction form
    313.24/485.47 = 485.47/x
  3. Step 3: Cross multiply
    313.24x = 485.47 × 485.47
  4. Step 4: Simplify right side
    313.24x = 235,683.70
  5. Step 5: Solve for x
    x = 235,683.70/313.24
  6. Step 6: Final answer
    x = 752.40

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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.