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Finding the Third Proportional to 409,224 and 899,661

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Solution

The third proportional to 409,224 and 899,661 is: 1,977,865.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,224 : 899,661 = 899,661 : x
  2. Step 2: Convert to fraction form
    409,224/899,661 = 899,661/x
  3. Step 3: Cross multiply
    409,224x = 899,661 × 899,661
  4. Step 4: Simplify right side
    409,224x = 809,389,914,921
  5. Step 5: Solve for x
    x = 809,389,914,921/409,224
  6. Step 6: Final answer
    x = 1,977,865.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.