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Finding the Third Proportional to 168,144 and 257,100

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Solution

The third proportional to 168,144 and 257,100 is: 393,117.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,144 : 257,100 = 257,100 : x
  2. Step 2: Convert to fraction form
    168,144/257,100 = 257,100/x
  3. Step 3: Cross multiply
    168,144x = 257,100 × 257,100
  4. Step 4: Simplify right side
    168,144x = 66,100,410,000
  5. Step 5: Solve for x
    x = 66,100,410,000/168,144
  6. Step 6: Final answer
    x = 393,117.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.