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Finding the Third Proportional to 457.37 and 548.49

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Solution

The third proportional to 457.37 and 548.49 is: 657.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.37 : 548.49 = 548.49 : x
  2. Step 2: Convert to fraction form
    457.37/548.49 = 548.49/x
  3. Step 3: Cross multiply
    457.37x = 548.49 × 548.49
  4. Step 4: Simplify right side
    457.37x = 300,841.54
  5. Step 5: Solve for x
    x = 300,841.54/457.37
  6. Step 6: Final answer
    x = 657.77

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.