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Finding the Third Proportional to 355.45 and 548.39

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Solution

The third proportional to 355.45 and 548.39 is: 846.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.45 : 548.39 = 548.39 : x
  2. Step 2: Convert to fraction form
    355.45/548.39 = 548.39/x
  3. Step 3: Cross multiply
    355.45x = 548.39 × 548.39
  4. Step 4: Simplify right side
    355.45x = 300,732.28
  5. Step 5: Solve for x
    x = 300,732.28/355.45
  6. Step 6: Final answer
    x = 846.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.