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Finding the Third Proportional to 166,112 and 389,974

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Solution

The third proportional to 166,112 and 389,974 is: 915,525.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,112 : 389,974 = 389,974 : x
  2. Step 2: Convert to fraction form
    166,112/389,974 = 389,974/x
  3. Step 3: Cross multiply
    166,112x = 389,974 × 389,974
  4. Step 4: Simplify right side
    166,112x = 152,079,720,676
  5. Step 5: Solve for x
    x = 152,079,720,676/166,112
  6. Step 6: Final answer
    x = 915,525.19

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.