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Finding the Third Proportional to 274.99 and 610.73

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Solution

The third proportional to 274.99 and 610.73 is: 1,356.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.99 : 610.73 = 610.73 : x
  2. Step 2: Convert to fraction form
    274.99/610.73 = 610.73/x
  3. Step 3: Cross multiply
    274.99x = 610.73 × 610.73
  4. Step 4: Simplify right side
    274.99x = 372,996.48
  5. Step 5: Solve for x
    x = 372,996.48/274.99
  6. Step 6: Final answer
    x = 1,356.39

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.