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Finding the Third Proportional to 76,969 and 122,955

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Solution

The third proportional to 76,969 and 122,955 is: 196,415.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,969 : 122,955 = 122,955 : x
  2. Step 2: Convert to fraction form
    76,969/122,955 = 122,955/x
  3. Step 3: Cross multiply
    76,969x = 122,955 × 122,955
  4. Step 4: Simplify right side
    76,969x = 15,117,932,025
  5. Step 5: Solve for x
    x = 15,117,932,025/76,969
  6. Step 6: Final answer
    x = 196,415.86

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.