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Finding the Third Proportional to 98,201 and 209,218

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Solution

The third proportional to 98,201 and 209,218 is: 445,740.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,201 : 209,218 = 209,218 : x
  2. Step 2: Convert to fraction form
    98,201/209,218 = 209,218/x
  3. Step 3: Cross multiply
    98,201x = 209,218 × 209,218
  4. Step 4: Simplify right side
    98,201x = 43,772,171,524
  5. Step 5: Solve for x
    x = 43,772,171,524/98,201
  6. Step 6: Final answer
    x = 445,740.59

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.