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Finding the Third Proportional to 251.25 and 394.63

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Solution

The third proportional to 251.25 and 394.63 is: 619.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.25 : 394.63 = 394.63 : x
  2. Step 2: Convert to fraction form
    251.25/394.63 = 394.63/x
  3. Step 3: Cross multiply
    251.25x = 394.63 × 394.63
  4. Step 4: Simplify right side
    251.25x = 155,728.89
  5. Step 5: Solve for x
    x = 155,728.89/251.25
  6. Step 6: Final answer
    x = 619.82

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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.