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Finding the Third Proportional to 253.92 and 376.37

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Solution

The third proportional to 253.92 and 376.37 is: 557.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.92 : 376.37 = 376.37 : x
  2. Step 2: Convert to fraction form
    253.92/376.37 = 376.37/x
  3. Step 3: Cross multiply
    253.92x = 376.37 × 376.37
  4. Step 4: Simplify right side
    253.92x = 141,650.79
  5. Step 5: Solve for x
    x = 141,650.79/253.92
  6. Step 6: Final answer
    x = 557.86

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.