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Finding the Third Proportional to 303,869 and 651,889

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Solution

The third proportional to 303,869 and 651,889 is: 1,398,494.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,869 : 651,889 = 651,889 : x
  2. Step 2: Convert to fraction form
    303,869/651,889 = 651,889/x
  3. Step 3: Cross multiply
    303,869x = 651,889 × 651,889
  4. Step 4: Simplify right side
    303,869x = 424,959,268,321
  5. Step 5: Solve for x
    x = 424,959,268,321/303,869
  6. Step 6: Final answer
    x = 1,398,494.97

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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.