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Finding the Third Proportional to 355.53 and 548.48

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Solution

The third proportional to 355.53 and 548.48 is: 846.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.53 : 548.48 = 548.48 : x
  2. Step 2: Convert to fraction form
    355.53/548.48 = 548.48/x
  3. Step 3: Cross multiply
    355.53x = 548.48 × 548.48
  4. Step 4: Simplify right side
    355.53x = 300,835.11
  5. Step 5: Solve for x
    x = 300,835.11/355.53
  6. Step 6: Final answer
    x = 846.16

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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.