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Finding the Third Proportional to 313.25 and 469.75

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Solution

The third proportional to 313.25 and 469.75 is: 704.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.25 : 469.75 = 469.75 : x
  2. Step 2: Convert to fraction form
    313.25/469.75 = 469.75/x
  3. Step 3: Cross multiply
    313.25x = 469.75 × 469.75
  4. Step 4: Simplify right side
    313.25x = 220,665.06
  5. Step 5: Solve for x
    x = 220,665.06/313.25
  6. Step 6: Final answer
    x = 704.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.