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Finding the Third Proportional to 355.75 and 540.94

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Solution

The third proportional to 355.75 and 540.94 is: 822.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.75 : 540.94 = 540.94 : x
  2. Step 2: Convert to fraction form
    355.75/540.94 = 540.94/x
  3. Step 3: Cross multiply
    355.75x = 540.94 × 540.94
  4. Step 4: Simplify right side
    355.75x = 292,613.38
  5. Step 5: Solve for x
    x = 292,613.38/355.75
  6. Step 6: Final answer
    x = 822.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.