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Finding the Third Proportional to 279,741 and 421,947

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Solution

The third proportional to 279,741 and 421,947 is: 636,443.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,741 : 421,947 = 421,947 : x
  2. Step 2: Convert to fraction form
    279,741/421,947 = 421,947/x
  3. Step 3: Cross multiply
    279,741x = 421,947 × 421,947
  4. Step 4: Simplify right side
    279,741x = 178,039,270,809
  5. Step 5: Solve for x
    x = 178,039,270,809/279,741
  6. Step 6: Final answer
    x = 636,443.25

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.