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Finding the Third Proportional to 122,978 and 195,747

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Solution

The third proportional to 122,978 and 195,747 is: 311,575.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,978 : 195,747 = 195,747 : x
  2. Step 2: Convert to fraction form
    122,978/195,747 = 195,747/x
  3. Step 3: Cross multiply
    122,978x = 195,747 × 195,747
  4. Step 4: Simplify right side
    122,978x = 38,316,888,009
  5. Step 5: Solve for x
    x = 38,316,888,009/122,978
  6. Step 6: Final answer
    x = 311,575.14

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.