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Finding the Third Proportional to 548.02 and 668.57

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Solution

The third proportional to 548.02 and 668.57 is: 815.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.02 : 668.57 = 668.57 : x
  2. Step 2: Convert to fraction form
    548.02/668.57 = 668.57/x
  3. Step 3: Cross multiply
    548.02x = 668.57 × 668.57
  4. Step 4: Simplify right side
    548.02x = 446,981.04
  5. Step 5: Solve for x
    x = 446,981.04/548.02
  6. Step 6: Final answer
    x = 815.64

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.