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Finding the Third Proportional to 263.53 and 418.85

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Solution

The third proportional to 263.53 and 418.85 is: 665.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.53 : 418.85 = 418.85 : x
  2. Step 2: Convert to fraction form
    263.53/418.85 = 418.85/x
  3. Step 3: Cross multiply
    263.53x = 418.85 × 418.85
  4. Step 4: Simplify right side
    263.53x = 175,436.63
  5. Step 5: Solve for x
    x = 175,436.63/263.53
  6. Step 6: Final answer
    x = 665.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.