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Finding the Third Proportional to 98,790 and 208,812

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Solution

The third proportional to 98,790 and 208,812 is: 441,365.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,790 : 208,812 = 208,812 : x
  2. Step 2: Convert to fraction form
    98,790/208,812 = 208,812/x
  3. Step 3: Cross multiply
    98,790x = 208,812 × 208,812
  4. Step 4: Simplify right side
    98,790x = 43,602,451,344
  5. Step 5: Solve for x
    x = 43,602,451,344/98,790
  6. Step 6: Final answer
    x = 441,365.03

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.