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Finding the Third Proportional to 98,978 and 220,036

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Solution

The third proportional to 98,978 and 220,036 is: 489,157.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,978 : 220,036 = 220,036 : x
  2. Step 2: Convert to fraction form
    98,978/220,036 = 220,036/x
  3. Step 3: Cross multiply
    98,978x = 220,036 × 220,036
  4. Step 4: Simplify right side
    98,978x = 48,415,841,296
  5. Step 5: Solve for x
    x = 48,415,841,296/98,978
  6. Step 6: Final answer
    x = 489,157.60

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.