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Finding the Third Proportional to 91,138 and 122,690

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Solution

The third proportional to 91,138 and 122,690 is: 165,165.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,138 : 122,690 = 122,690 : x
  2. Step 2: Convert to fraction form
    91,138/122,690 = 122,690/x
  3. Step 3: Cross multiply
    91,138x = 122,690 × 122,690
  4. Step 4: Simplify right side
    91,138x = 15,052,836,100
  5. Step 5: Solve for x
    x = 15,052,836,100/91,138
  6. Step 6: Final answer
    x = 165,165.31

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.