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Finding the Third Proportional to 316,203 and 682,878

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Solution

The third proportional to 316,203 and 682,878 is: 1,474,756.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,203 : 682,878 = 682,878 : x
  2. Step 2: Convert to fraction form
    316,203/682,878 = 682,878/x
  3. Step 3: Cross multiply
    316,203x = 682,878 × 682,878
  4. Step 4: Simplify right side
    316,203x = 466,322,362,884
  5. Step 5: Solve for x
    x = 466,322,362,884/316,203
  6. Step 6: Final answer
    x = 1,474,756.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.