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Finding the Third Proportional to 409,252 and 899,708

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Solution

The third proportional to 409,252 and 899,708 is: 1,977,936.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,252 : 899,708 = 899,708 : x
  2. Step 2: Convert to fraction form
    409,252/899,708 = 899,708/x
  3. Step 3: Cross multiply
    409,252x = 899,708 × 899,708
  4. Step 4: Simplify right side
    409,252x = 809,474,485,264
  5. Step 5: Solve for x
    x = 809,474,485,264/409,252
  6. Step 6: Final answer
    x = 1,977,936.54

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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.