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Finding the Third Proportional to 643,100 and 1,396,880

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Solution

The third proportional to 643,100 and 1,396,880 is: 3,034,168.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,100 : 1,396,880 = 1,396,880 : x
  2. Step 2: Convert to fraction form
    643,100/1,396,880 = 1,396,880/x
  3. Step 3: Cross multiply
    643,100x = 1,396,880 × 1,396,880
  4. Step 4: Simplify right side
    643,100x = 1,951,273,734,400
  5. Step 5: Solve for x
    x = 1,951,273,734,400/643,100
  6. Step 6: Final answer
    x = 3,034,168.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.