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Finding the Third Proportional to 98,851 and 217,379

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Solution

The third proportional to 98,851 and 217,379 is: 478,028.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,851 : 217,379 = 217,379 : x
  2. Step 2: Convert to fraction form
    98,851/217,379 = 217,379/x
  3. Step 3: Cross multiply
    98,851x = 217,379 × 217,379
  4. Step 4: Simplify right side
    98,851x = 47,253,629,641
  5. Step 5: Solve for x
    x = 47,253,629,641/98,851
  6. Step 6: Final answer
    x = 478,028.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.