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Finding the Third Proportional to 646,668 and 978,954

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Solution

The third proportional to 646,668 and 978,954 is: 1,481,982.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,668 : 978,954 = 978,954 : x
  2. Step 2: Convert to fraction form
    646,668/978,954 = 978,954/x
  3. Step 3: Cross multiply
    646,668x = 978,954 × 978,954
  4. Step 4: Simplify right side
    646,668x = 958,350,934,116
  5. Step 5: Solve for x
    x = 958,350,934,116/646,668
  6. Step 6: Final answer
    x = 1,481,982.92

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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.