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Finding the Third Proportional to 86,969 and 124,135

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Solution

The third proportional to 86,969 and 124,135 is: 177,183.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,969 : 124,135 = 124,135 : x
  2. Step 2: Convert to fraction form
    86,969/124,135 = 124,135/x
  3. Step 3: Cross multiply
    86,969x = 124,135 × 124,135
  4. Step 4: Simplify right side
    86,969x = 15,409,498,225
  5. Step 5: Solve for x
    x = 15,409,498,225/86,969
  6. Step 6: Final answer
    x = 177,183.80

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.