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Finding the Third Proportional to 43,486 and 65,978

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Solution

The third proportional to 43,486 and 65,978 is: 100,103.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,486 : 65,978 = 65,978 : x
  2. Step 2: Convert to fraction form
    43,486/65,978 = 65,978/x
  3. Step 3: Cross multiply
    43,486x = 65,978 × 65,978
  4. Step 4: Simplify right side
    43,486x = 4,353,096,484
  5. Step 5: Solve for x
    x = 4,353,096,484/43,486
  6. Step 6: Final answer
    x = 100,103.40

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.