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Finding the Third Proportional to 20,619.75 and 45,978

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Solution

The third proportional to 20,619.75 and 45,978 is: 102,521.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,619.75 : 45,978 = 45,978 : x
  2. Step 2: Convert to fraction form
    20,619.75/45,978 = 45,978/x
  3. Step 3: Cross multiply
    20,619.75x = 45,978 × 45,978
  4. Step 4: Simplify right side
    20,619.75x = 2,113,976,484
  5. Step 5: Solve for x
    x = 2,113,976,484/20,619.75
  6. Step 6: Final answer
    x = 102,521.93

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.