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Finding the Third Proportional to 272.44 and 436.03

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Solution

The third proportional to 272.44 and 436.03 is: 697.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.44 : 436.03 = 436.03 : x
  2. Step 2: Convert to fraction form
    272.44/436.03 = 436.03/x
  3. Step 3: Cross multiply
    272.44x = 436.03 × 436.03
  4. Step 4: Simplify right side
    272.44x = 190,123.25
  5. Step 5: Solve for x
    x = 190,123.25/272.44
  6. Step 6: Final answer
    x = 697.86

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.