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Finding the Third Proportional to 20,978 and 28,875

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Solution

The third proportional to 20,978 and 28,875 is: 39,744.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,978 : 28,875 = 28,875 : x
  2. Step 2: Convert to fraction form
    20,978/28,875 = 28,875/x
  3. Step 3: Cross multiply
    20,978x = 28,875 × 28,875
  4. Step 4: Simplify right side
    20,978x = 833,765,625
  5. Step 5: Solve for x
    x = 833,765,625/20,978
  6. Step 6: Final answer
    x = 39,744.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.