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Finding the Third Proportional to 68,077 and 147,961

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Solution

The third proportional to 68,077 and 147,961 is: 321,583.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,077 : 147,961 = 147,961 : x
  2. Step 2: Convert to fraction form
    68,077/147,961 = 147,961/x
  3. Step 3: Cross multiply
    68,077x = 147,961 × 147,961
  4. Step 4: Simplify right side
    68,077x = 21,892,457,521
  5. Step 5: Solve for x
    x = 21,892,457,521/68,077
  6. Step 6: Final answer
    x = 321,583.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.