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Finding the Third Proportional to 449,641 and 978,580

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Solution

The third proportional to 449,641 and 978,580 is: 2,129,740.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,641 : 978,580 = 978,580 : x
  2. Step 2: Convert to fraction form
    449,641/978,580 = 978,580/x
  3. Step 3: Cross multiply
    449,641x = 978,580 × 978,580
  4. Step 4: Simplify right side
    449,641x = 957,618,816,400
  5. Step 5: Solve for x
    x = 957,618,816,400/449,641
  6. Step 6: Final answer
    x = 2,129,740.87

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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.