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Finding the Third Proportional to 341.72 and 482.20

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Solution

The third proportional to 341.72 and 482.20 is: 680.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.72 : 482.20 = 482.20 : x
  2. Step 2: Convert to fraction form
    341.72/482.20 = 482.20/x
  3. Step 3: Cross multiply
    341.72x = 482.20 × 482.20
  4. Step 4: Simplify right side
    341.72x = 232,519.85
  5. Step 5: Solve for x
    x = 232,519.85/341.72
  6. Step 6: Final answer
    x = 680.44

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.