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Finding the Third Proportional to 301,288 and 649,256

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Solution

The third proportional to 301,288 and 649,256 is: 1,399,104.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,288 : 649,256 = 649,256 : x
  2. Step 2: Convert to fraction form
    301,288/649,256 = 649,256/x
  3. Step 3: Cross multiply
    301,288x = 649,256 × 649,256
  4. Step 4: Simplify right side
    301,288x = 421,533,353,536
  5. Step 5: Solve for x
    x = 421,533,353,536/301,288
  6. Step 6: Final answer
    x = 1,399,104.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.