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Finding the Third Proportional to 313.36 and 485.05

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Solution

The third proportional to 313.36 and 485.05 is: 750.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.36 : 485.05 = 485.05 : x
  2. Step 2: Convert to fraction form
    313.36/485.05 = 485.05/x
  3. Step 3: Cross multiply
    313.36x = 485.05 × 485.05
  4. Step 4: Simplify right side
    313.36x = 235,274.26
  5. Step 5: Solve for x
    x = 235,274.26/313.36
  6. Step 6: Final answer
    x = 750.81

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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.