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Finding the Third Proportional to 306,100 and 649,256

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Solution

The third proportional to 306,100 and 649,256 is: 1,377,109.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,100 : 649,256 = 649,256 : x
  2. Step 2: Convert to fraction form
    306,100/649,256 = 649,256/x
  3. Step 3: Cross multiply
    306,100x = 649,256 × 649,256
  4. Step 4: Simplify right side
    306,100x = 421,533,353,536
  5. Step 5: Solve for x
    x = 421,533,353,536/306,100
  6. Step 6: Final answer
    x = 1,377,109.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.