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Finding the Third Proportional to 171,144 and 257,247

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Solution

The third proportional to 171,144 and 257,247 is: 386,668.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,144 : 257,247 = 257,247 : x
  2. Step 2: Convert to fraction form
    171,144/257,247 = 257,247/x
  3. Step 3: Cross multiply
    171,144x = 257,247 × 257,247
  4. Step 4: Simplify right side
    171,144x = 66,176,019,009
  5. Step 5: Solve for x
    x = 66,176,019,009/171,144
  6. Step 6: Final answer
    x = 386,668.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.