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Finding the Third Proportional to 68,978 and 102,174

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Solution

The third proportional to 68,978 and 102,174 is: 151,345.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,978 : 102,174 = 102,174 : x
  2. Step 2: Convert to fraction form
    68,978/102,174 = 102,174/x
  3. Step 3: Cross multiply
    68,978x = 102,174 × 102,174
  4. Step 4: Simplify right side
    68,978x = 10,439,526,276
  5. Step 5: Solve for x
    x = 10,439,526,276/68,978
  6. Step 6: Final answer
    x = 151,345.74

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.