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Finding the Third Proportional to 98,851 and 205,894

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Solution

The third proportional to 98,851 and 205,894 is: 428,850.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,851 : 205,894 = 205,894 : x
  2. Step 2: Convert to fraction form
    98,851/205,894 = 205,894/x
  3. Step 3: Cross multiply
    98,851x = 205,894 × 205,894
  4. Step 4: Simplify right side
    98,851x = 42,392,339,236
  5. Step 5: Solve for x
    x = 42,392,339,236/98,851
  6. Step 6: Final answer
    x = 428,850.89

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.