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Finding the Third Proportional to 339 and 448

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Solution

The third proportional to 339 and 448 is: 592.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    339 : 448 = 448 : x
  2. Step 2: Convert to fraction form
    339/448 = 448/x
  3. Step 3: Cross multiply
    339x = 448 × 448
  4. Step 4: Simplify right side
    339x = 200,704
  5. Step 5: Solve for x
    x = 200,704/339
  6. Step 6: Final answer
    x = 592.05

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.