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Finding the Third Proportional to 312.75 and 484.03

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Solution

The third proportional to 312.75 and 484.03 is: 749.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.75 : 484.03 = 484.03 : x
  2. Step 2: Convert to fraction form
    312.75/484.03 = 484.03/x
  3. Step 3: Cross multiply
    312.75x = 484.03 × 484.03
  4. Step 4: Simplify right side
    312.75x = 234,286.25
  5. Step 5: Solve for x
    x = 234,286.25/312.75
  6. Step 6: Final answer
    x = 749.12

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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.