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Finding the Third Proportional to 548.56 and 603.69

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Solution

The third proportional to 548.56 and 603.69 is: 664.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.56 : 603.69 = 603.69 : x
  2. Step 2: Convert to fraction form
    548.56/603.69 = 603.69/x
  3. Step 3: Cross multiply
    548.56x = 603.69 × 603.69
  4. Step 4: Simplify right side
    548.56x = 364,438.60
  5. Step 5: Solve for x
    x = 364,438.60/548.56
  6. Step 6: Final answer
    x = 664.35

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.