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Finding the Third Proportional to 355.80 and 538.44

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Solution

The third proportional to 355.80 and 538.44 is: 814.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.80 : 538.44 = 538.44 : x
  2. Step 2: Convert to fraction form
    355.80/538.44 = 538.44/x
  3. Step 3: Cross multiply
    355.80x = 538.44 × 538.44
  4. Step 4: Simplify right side
    355.80x = 289,922.30
  5. Step 5: Solve for x
    x = 289,922.30/355.80
  6. Step 6: Final answer
    x = 814.85

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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.