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Finding the Third Proportional to 312,848 and 681,568

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Solution

The third proportional to 312,848 and 681,568 is: 1,484,858.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,848 : 681,568 = 681,568 : x
  2. Step 2: Convert to fraction form
    312,848/681,568 = 681,568/x
  3. Step 3: Cross multiply
    312,848x = 681,568 × 681,568
  4. Step 4: Simplify right side
    312,848x = 464,534,938,624
  5. Step 5: Solve for x
    x = 464,534,938,624/312,848
  6. Step 6: Final answer
    x = 1,484,858.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.