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Finding the Third Proportional to 166,418 and 255,790

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Solution

The third proportional to 166,418 and 255,790 is: 393,157.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,418 : 255,790 = 255,790 : x
  2. Step 2: Convert to fraction form
    166,418/255,790 = 255,790/x
  3. Step 3: Cross multiply
    166,418x = 255,790 × 255,790
  4. Step 4: Simplify right side
    166,418x = 65,428,524,100
  5. Step 5: Solve for x
    x = 65,428,524,100/166,418
  6. Step 6: Final answer
    x = 393,157.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.