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Finding the Third Proportional to 677,816 and 1,338,620

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Solution

The third proportional to 677,816 and 1,338,620 is: 2,643,642.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,816 : 1,338,620 = 1,338,620 : x
  2. Step 2: Convert to fraction form
    677,816/1,338,620 = 1,338,620/x
  3. Step 3: Cross multiply
    677,816x = 1,338,620 × 1,338,620
  4. Step 4: Simplify right side
    677,816x = 1,791,903,504,400
  5. Step 5: Solve for x
    x = 1,791,903,504,400/677,816
  6. Step 6: Final answer
    x = 2,643,642.97

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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.