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Finding the Third Proportional to 339.94 and 497.91

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Solution

The third proportional to 339.94 and 497.91 is: 729.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.94 : 497.91 = 497.91 : x
  2. Step 2: Convert to fraction form
    339.94/497.91 = 497.91/x
  3. Step 3: Cross multiply
    339.94x = 497.91 × 497.91
  4. Step 4: Simplify right side
    339.94x = 247,910.63
  5. Step 5: Solve for x
    x = 247,910.63/339.94
  6. Step 6: Final answer
    x = 729.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.