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Finding the Third Proportional to 38,978 and 85,900

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Solution

The third proportional to 38,978 and 85,900 is: 189,307.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,978 : 85,900 = 85,900 : x
  2. Step 2: Convert to fraction form
    38,978/85,900 = 85,900/x
  3. Step 3: Cross multiply
    38,978x = 85,900 × 85,900
  4. Step 4: Simplify right side
    38,978x = 7,378,810,000
  5. Step 5: Solve for x
    x = 7,378,810,000/38,978
  6. Step 6: Final answer
    x = 189,307.04

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