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Finding the Third Proportional to 272.53 and 422.34

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Solution

The third proportional to 272.53 and 422.34 is: 654.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.53 : 422.34 = 422.34 : x
  2. Step 2: Convert to fraction form
    272.53/422.34 = 422.34/x
  3. Step 3: Cross multiply
    272.53x = 422.34 × 422.34
  4. Step 4: Simplify right side
    272.53x = 178,374.24
  5. Step 5: Solve for x
    x = 178,374.24/272.53
  6. Step 6: Final answer
    x = 654.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.