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Finding the Third Proportional to 274.80 and 356.43

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Solution

The third proportional to 274.80 and 356.43 is: 462.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.80 : 356.43 = 356.43 : x
  2. Step 2: Convert to fraction form
    274.80/356.43 = 356.43/x
  3. Step 3: Cross multiply
    274.80x = 356.43 × 356.43
  4. Step 4: Simplify right side
    274.80x = 127,043.51
  5. Step 5: Solve for x
    x = 127,043.51/274.80
  6. Step 6: Final answer
    x = 462.31

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.