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Finding the Third Proportional to 344.25 and 521.86

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Solution

The third proportional to 344.25 and 521.86 is: 791.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.25 : 521.86 = 521.86 : x
  2. Step 2: Convert to fraction form
    344.25/521.86 = 521.86/x
  3. Step 3: Cross multiply
    344.25x = 521.86 × 521.86
  4. Step 4: Simplify right side
    344.25x = 272,337.21
  5. Step 5: Solve for x
    x = 272,337.21/344.25
  6. Step 6: Final answer
    x = 791.10

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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.