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Finding the Third Proportional to 299,268 and 646,011

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Solution

The third proportional to 299,268 and 646,011 is: 1,394,503.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,268 : 646,011 = 646,011 : x
  2. Step 2: Convert to fraction form
    299,268/646,011 = 646,011/x
  3. Step 3: Cross multiply
    299,268x = 646,011 × 646,011
  4. Step 4: Simplify right side
    299,268x = 417,330,212,121
  5. Step 5: Solve for x
    x = 417,330,212,121/299,268
  6. Step 6: Final answer
    x = 1,394,503.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.