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Finding the Third Proportional to 208,640 and 313,956

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Solution

The third proportional to 208,640 and 313,956 is: 472,432.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,640 : 313,956 = 313,956 : x
  2. Step 2: Convert to fraction form
    208,640/313,956 = 313,956/x
  3. Step 3: Cross multiply
    208,640x = 313,956 × 313,956
  4. Step 4: Simplify right side
    208,640x = 98,568,369,936
  5. Step 5: Solve for x
    x = 98,568,369,936/208,640
  6. Step 6: Final answer
    x = 472,432.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.