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Finding the Third Proportional to 260,640 and 396,144

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Solution

The third proportional to 260,640 and 396,144 is: 602,095.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,640 : 396,144 = 396,144 : x
  2. Step 2: Convert to fraction form
    260,640/396,144 = 396,144/x
  3. Step 3: Cross multiply
    260,640x = 396,144 × 396,144
  4. Step 4: Simplify right side
    260,640x = 156,930,068,736
  5. Step 5: Solve for x
    x = 156,930,068,736/260,640
  6. Step 6: Final answer
    x = 602,095.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.