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Finding the Third Proportional to 548.02 and 1,278.91

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Solution

The third proportional to 548.02 and 1,278.91 is: 2,984.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.02 : 1,278.91 = 1,278.91 : x
  2. Step 2: Convert to fraction form
    548.02/1,278.91 = 1,278.91/x
  3. Step 3: Cross multiply
    548.02x = 1,278.91 × 1,278.91
  4. Step 4: Simplify right side
    548.02x = 1,635,621.18
  5. Step 5: Solve for x
    x = 1,635,621.18/548.02
  6. Step 6: Final answer
    x = 2,984.63

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.