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Finding the Third Proportional to 98,622 and 209,529

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Solution

The third proportional to 98,622 and 209,529 is: 445,158.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,622 : 209,529 = 209,529 : x
  2. Step 2: Convert to fraction form
    98,622/209,529 = 209,529/x
  3. Step 3: Cross multiply
    98,622x = 209,529 × 209,529
  4. Step 4: Simplify right side
    98,622x = 43,902,401,841
  5. Step 5: Solve for x
    x = 43,902,401,841/98,622
  6. Step 6: Final answer
    x = 445,158.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.