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Finding the Third Proportional to 322,869 and 637,458

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Solution

The third proportional to 322,869 and 637,458 is: 1,258,568.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,869 : 637,458 = 637,458 : x
  2. Step 2: Convert to fraction form
    322,869/637,458 = 637,458/x
  3. Step 3: Cross multiply
    322,869x = 637,458 × 637,458
  4. Step 4: Simplify right side
    322,869x = 406,352,701,764
  5. Step 5: Solve for x
    x = 406,352,701,764/322,869
  6. Step 6: Final answer
    x = 1,258,568.34

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.