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Finding the Third Proportional to 409,268 and 838,216

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Solution

The third proportional to 409,268 and 838,216 is: 1,716,738.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,268 : 838,216 = 838,216 : x
  2. Step 2: Convert to fraction form
    409,268/838,216 = 838,216/x
  3. Step 3: Cross multiply
    409,268x = 838,216 × 838,216
  4. Step 4: Simplify right side
    409,268x = 702,606,062,656
  5. Step 5: Solve for x
    x = 702,606,062,656/409,268
  6. Step 6: Final answer
    x = 1,716,738.33

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.