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Finding the Third Proportional to 449,668 and 978,652

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Solution

The third proportional to 449,668 and 978,652 is: 2,129,926.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,668 : 978,652 = 978,652 : x
  2. Step 2: Convert to fraction form
    449,668/978,652 = 978,652/x
  3. Step 3: Cross multiply
    449,668x = 978,652 × 978,652
  4. Step 4: Simplify right side
    449,668x = 957,759,737,104
  5. Step 5: Solve for x
    x = 957,759,737,104/449,668
  6. Step 6: Final answer
    x = 2,129,926.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.