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Finding the Third Proportional to 74,450 and 115,131

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Solution

The third proportional to 74,450 and 115,131 is: 178,040.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,450 : 115,131 = 115,131 : x
  2. Step 2: Convert to fraction form
    74,450/115,131 = 115,131/x
  3. Step 3: Cross multiply
    74,450x = 115,131 × 115,131
  4. Step 4: Simplify right side
    74,450x = 13,255,147,161
  5. Step 5: Solve for x
    x = 13,255,147,161/74,450
  6. Step 6: Final answer
    x = 178,040.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.