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Finding the Third Proportional to 341.44 and 517.78

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Solution

The third proportional to 341.44 and 517.78 is: 785.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.44 : 517.78 = 517.78 : x
  2. Step 2: Convert to fraction form
    341.44/517.78 = 517.78/x
  3. Step 3: Cross multiply
    341.44x = 517.78 × 517.78
  4. Step 4: Simplify right side
    341.44x = 268,097.42
  5. Step 5: Solve for x
    x = 268,097.42/341.44
  6. Step 6: Final answer
    x = 785.20

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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.