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Finding the Third Proportional to 419,859 and 899,615

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Solution

The third proportional to 419,859 and 899,615 is: 1,927,568.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,859 : 899,615 = 899,615 : x
  2. Step 2: Convert to fraction form
    419,859/899,615 = 899,615/x
  3. Step 3: Cross multiply
    419,859x = 899,615 × 899,615
  4. Step 4: Simplify right side
    419,859x = 809,307,148,225
  5. Step 5: Solve for x
    x = 809,307,148,225/419,859
  6. Step 6: Final answer
    x = 1,927,568.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.