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Finding the Third Proportional to 223.75 and 351.25

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Solution

The third proportional to 223.75 and 351.25 is: 551.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.75 : 351.25 = 351.25 : x
  2. Step 2: Convert to fraction form
    223.75/351.25 = 351.25/x
  3. Step 3: Cross multiply
    223.75x = 351.25 × 351.25
  4. Step 4: Simplify right side
    223.75x = 123,376.56
  5. Step 5: Solve for x
    x = 123,376.56/223.75
  6. Step 6: Final answer
    x = 551.40

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.