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Finding the Third Proportional to 389,704 and 855,951

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Solution

The third proportional to 389,704 and 855,951 is: 1,880,022.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,704 : 855,951 = 855,951 : x
  2. Step 2: Convert to fraction form
    389,704/855,951 = 855,951/x
  3. Step 3: Cross multiply
    389,704x = 855,951 × 855,951
  4. Step 4: Simplify right side
    389,704x = 732,652,114,401
  5. Step 5: Solve for x
    x = 732,652,114,401/389,704
  6. Step 6: Final answer
    x = 1,880,022.05

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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.