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Finding the Third Proportional to 274.78 and 673.03

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Solution

The third proportional to 274.78 and 673.03 is: 1,648.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.78 : 673.03 = 673.03 : x
  2. Step 2: Convert to fraction form
    274.78/673.03 = 673.03/x
  3. Step 3: Cross multiply
    274.78x = 673.03 × 673.03
  4. Step 4: Simplify right side
    274.78x = 452,971.06
  5. Step 5: Solve for x
    x = 452,971.06/274.78
  6. Step 6: Final answer
    x = 1,648.48

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.