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Finding the Third Proportional to 274.54 and 415.23

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Solution

The third proportional to 274.54 and 415.23 is: 628.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.54 : 415.23 = 415.23 : x
  2. Step 2: Convert to fraction form
    274.54/415.23 = 415.23/x
  3. Step 3: Cross multiply
    274.54x = 415.23 × 415.23
  4. Step 4: Simplify right side
    274.54x = 172,416.34
  5. Step 5: Solve for x
    x = 172,416.34/274.54
  6. Step 6: Final answer
    x = 628.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.