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Finding the Third Proportional to 98,902 and 204,807

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Solution

The third proportional to 98,902 and 204,807 is: 424,115.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,902 : 204,807 = 204,807 : x
  2. Step 2: Convert to fraction form
    98,902/204,807 = 204,807/x
  3. Step 3: Cross multiply
    98,902x = 204,807 × 204,807
  4. Step 4: Simplify right side
    98,902x = 41,945,907,249
  5. Step 5: Solve for x
    x = 41,945,907,249/98,902
  6. Step 6: Final answer
    x = 424,115.86

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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.