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Finding the Third Proportional to 253.83 and 352.55

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Solution

The third proportional to 253.83 and 352.55 is: 489.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.83 : 352.55 = 352.55 : x
  2. Step 2: Convert to fraction form
    253.83/352.55 = 352.55/x
  3. Step 3: Cross multiply
    253.83x = 352.55 × 352.55
  4. Step 4: Simplify right side
    253.83x = 124,289.30
  5. Step 5: Solve for x
    x = 124,289.30/253.83
  6. Step 6: Final answer
    x = 489.66

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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.