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Finding the Third Proportional to 343,274 and 717,916

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Solution

The third proportional to 343,274 and 717,916 is: 1,501,434.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,274 : 717,916 = 717,916 : x
  2. Step 2: Convert to fraction form
    343,274/717,916 = 717,916/x
  3. Step 3: Cross multiply
    343,274x = 717,916 × 717,916
  4. Step 4: Simplify right side
    343,274x = 515,403,383,056
  5. Step 5: Solve for x
    x = 515,403,383,056/343,274
  6. Step 6: Final answer
    x = 1,501,434.37

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.