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Finding the Third Proportional to 643,405 and 1,270,661

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Solution

The third proportional to 643,405 and 1,270,661 is: 2,509,429.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,405 : 1,270,661 = 1,270,661 : x
  2. Step 2: Convert to fraction form
    643,405/1,270,661 = 1,270,661/x
  3. Step 3: Cross multiply
    643,405x = 1,270,661 × 1,270,661
  4. Step 4: Simplify right side
    643,405x = 1,614,579,376,921
  5. Step 5: Solve for x
    x = 1,614,579,376,921/643,405
  6. Step 6: Final answer
    x = 2,509,429.33

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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.