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Finding the Third Proportional to 646,686 and 978,975

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Solution

The third proportional to 646,686 and 978,975 is: 1,482,005.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,686 : 978,975 = 978,975 : x
  2. Step 2: Convert to fraction form
    646,686/978,975 = 978,975/x
  3. Step 3: Cross multiply
    646,686x = 978,975 × 978,975
  4. Step 4: Simplify right side
    646,686x = 958,392,050,625
  5. Step 5: Solve for x
    x = 958,392,050,625/646,686
  6. Step 6: Final answer
    x = 1,482,005.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.