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Finding the Third Proportional to 282,678 and 396,168

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Solution

The third proportional to 282,678 and 396,168 is: 555,222.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,678 : 396,168 = 396,168 : x
  2. Step 2: Convert to fraction form
    282,678/396,168 = 396,168/x
  3. Step 3: Cross multiply
    282,678x = 396,168 × 396,168
  4. Step 4: Simplify right side
    282,678x = 156,949,084,224
  5. Step 5: Solve for x
    x = 156,949,084,224/282,678
  6. Step 6: Final answer
    x = 555,222.14

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.