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Finding the Third Proportional to 251.37 and 378.63

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Solution

The third proportional to 251.37 and 378.63 is: 570.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.37 : 378.63 = 378.63 : x
  2. Step 2: Convert to fraction form
    251.37/378.63 = 378.63/x
  3. Step 3: Cross multiply
    251.37x = 378.63 × 378.63
  4. Step 4: Simplify right side
    251.37x = 143,362.81
  5. Step 5: Solve for x
    x = 143,362.81/251.37
  6. Step 6: Final answer
    x = 570.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.