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Finding the Third Proportional to 253.09 and 352.40

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Solution

The third proportional to 253.09 and 352.40 is: 490.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.09 : 352.40 = 352.40 : x
  2. Step 2: Convert to fraction form
    253.09/352.40 = 352.40/x
  3. Step 3: Cross multiply
    253.09x = 352.40 × 352.40
  4. Step 4: Simplify right side
    253.09x = 124,183.97
  5. Step 5: Solve for x
    x = 124,183.97/253.09
  6. Step 6: Final answer
    x = 490.68

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.