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Finding the Third Proportional to 277,310 and 421,149

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Solution

The third proportional to 277,310 and 421,149 is: 639,596.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,310 : 421,149 = 421,149 : x
  2. Step 2: Convert to fraction form
    277,310/421,149 = 421,149/x
  3. Step 3: Cross multiply
    277,310x = 421,149 × 421,149
  4. Step 4: Simplify right side
    277,310x = 177,366,480,201
  5. Step 5: Solve for x
    x = 177,366,480,201/277,310
  6. Step 6: Final answer
    x = 639,596.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.