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Finding the Third Proportional to 66,978 and 144,324

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Solution

The third proportional to 66,978 and 144,324 is: 310,988.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,978 : 144,324 = 144,324 : x
  2. Step 2: Convert to fraction form
    66,978/144,324 = 144,324/x
  3. Step 3: Cross multiply
    66,978x = 144,324 × 144,324
  4. Step 4: Simplify right side
    66,978x = 20,829,416,976
  5. Step 5: Solve for x
    x = 20,829,416,976/66,978
  6. Step 6: Final answer
    x = 310,988.94

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.