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Finding the Third Proportional to 85,140 and 198,858

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Solution

The third proportional to 85,140 and 198,858 is: 464,464.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,140 : 198,858 = 198,858 : x
  2. Step 2: Convert to fraction form
    85,140/198,858 = 198,858/x
  3. Step 3: Cross multiply
    85,140x = 198,858 × 198,858
  4. Step 4: Simplify right side
    85,140x = 39,544,504,164
  5. Step 5: Solve for x
    x = 39,544,504,164/85,140
  6. Step 6: Final answer
    x = 464,464.46

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.