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Finding the Third Proportional to 274.01 and 639.46

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Solution

The third proportional to 274.01 and 639.46 is: 1,492.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.01 : 639.46 = 639.46 : x
  2. Step 2: Convert to fraction form
    274.01/639.46 = 639.46/x
  3. Step 3: Cross multiply
    274.01x = 639.46 × 639.46
  4. Step 4: Simplify right side
    274.01x = 408,905.29
  5. Step 5: Solve for x
    x = 408,905.29/274.01
  6. Step 6: Final answer
    x = 1,492.31

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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.