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Finding the Third Proportional to 643,869 and 874,458

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Solution

The third proportional to 643,869 and 874,458 is: 1,187,627.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,869 : 874,458 = 874,458 : x
  2. Step 2: Convert to fraction form
    643,869/874,458 = 874,458/x
  3. Step 3: Cross multiply
    643,869x = 874,458 × 874,458
  4. Step 4: Simplify right side
    643,869x = 764,676,793,764
  5. Step 5: Solve for x
    x = 764,676,793,764/643,869
  6. Step 6: Final answer
    x = 1,187,627.91

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.