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Finding the Third Proportional to 169.28 and 344.72

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Solution

The third proportional to 169.28 and 344.72 is: 702.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.28 : 344.72 = 344.72 : x
  2. Step 2: Convert to fraction form
    169.28/344.72 = 344.72/x
  3. Step 3: Cross multiply
    169.28x = 344.72 × 344.72
  4. Step 4: Simplify right side
    169.28x = 118,835.06
  5. Step 5: Solve for x
    x = 118,835.06/169.28
  6. Step 6: Final answer
    x = 702.01

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.