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Finding the Third Proportional to 315,268 and 685,832

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Solution

The third proportional to 315,268 and 685,832 is: 1,491,954.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,268 : 685,832 = 685,832 : x
  2. Step 2: Convert to fraction form
    315,268/685,832 = 685,832/x
  3. Step 3: Cross multiply
    315,268x = 685,832 × 685,832
  4. Step 4: Simplify right side
    315,268x = 470,365,532,224
  5. Step 5: Solve for x
    x = 470,365,532,224/315,268
  6. Step 6: Final answer
    x = 1,491,954.57

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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.