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Finding the Third Proportional to 51,978 and 110,157

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Solution

The third proportional to 51,978 and 110,157 is: 233,455.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,978 : 110,157 = 110,157 : x
  2. Step 2: Convert to fraction form
    51,978/110,157 = 110,157/x
  3. Step 3: Cross multiply
    51,978x = 110,157 × 110,157
  4. Step 4: Simplify right side
    51,978x = 12,134,564,649
  5. Step 5: Solve for x
    x = 12,134,564,649/51,978
  6. Step 6: Final answer
    x = 233,455.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.