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Finding the Third Proportional to 66,978 and 146,803

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Solution

The third proportional to 66,978 and 146,803 is: 321,764.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,978 : 146,803 = 146,803 : x
  2. Step 2: Convert to fraction form
    66,978/146,803 = 146,803/x
  3. Step 3: Cross multiply
    66,978x = 146,803 × 146,803
  4. Step 4: Simplify right side
    66,978x = 21,551,120,809
  5. Step 5: Solve for x
    x = 21,551,120,809/66,978
  6. Step 6: Final answer
    x = 321,764.17

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.