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Finding the Third Proportional to 98,507 and 204,021

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Solution

The third proportional to 98,507 and 204,021 is: 422,554.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,507 : 204,021 = 204,021 : x
  2. Step 2: Convert to fraction form
    98,507/204,021 = 204,021/x
  3. Step 3: Cross multiply
    98,507x = 204,021 × 204,021
  4. Step 4: Simplify right side
    98,507x = 41,624,568,441
  5. Step 5: Solve for x
    x = 41,624,568,441/98,507
  6. Step 6: Final answer
    x = 422,554.42

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.