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Finding the Third Proportional to 39,978 and 58,671

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Solution

The third proportional to 39,978 and 58,671 is: 86,104.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,978 : 58,671 = 58,671 : x
  2. Step 2: Convert to fraction form
    39,978/58,671 = 58,671/x
  3. Step 3: Cross multiply
    39,978x = 58,671 × 58,671
  4. Step 4: Simplify right side
    39,978x = 3,442,286,241
  5. Step 5: Solve for x
    x = 3,442,286,241/39,978
  6. Step 6: Final answer
    x = 86,104.51

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.