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Finding the Third Proportional to 342,949 and 751,279

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Solution

The third proportional to 342,949 and 751,279 is: 1,645,784.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,949 : 751,279 = 751,279 : x
  2. Step 2: Convert to fraction form
    342,949/751,279 = 751,279/x
  3. Step 3: Cross multiply
    342,949x = 751,279 × 751,279
  4. Step 4: Simplify right side
    342,949x = 564,420,135,841
  5. Step 5: Solve for x
    x = 564,420,135,841/342,949
  6. Step 6: Final answer
    x = 1,645,784.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.