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Finding the Third Proportional to 99,022 and 208,412

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Solution

The third proportional to 99,022 and 208,412 is: 438,645.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,022 : 208,412 = 208,412 : x
  2. Step 2: Convert to fraction form
    99,022/208,412 = 208,412/x
  3. Step 3: Cross multiply
    99,022x = 208,412 × 208,412
  4. Step 4: Simplify right side
    99,022x = 43,435,561,744
  5. Step 5: Solve for x
    x = 43,435,561,744/99,022
  6. Step 6: Final answer
    x = 438,645.57

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.