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Finding the Third Proportional to 231,869 and 488,641

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Solution

The third proportional to 231,869 and 488,641 is: 1,029,762.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,869 : 488,641 = 488,641 : x
  2. Step 2: Convert to fraction form
    231,869/488,641 = 488,641/x
  3. Step 3: Cross multiply
    231,869x = 488,641 × 488,641
  4. Step 4: Simplify right side
    231,869x = 238,770,026,881
  5. Step 5: Solve for x
    x = 238,770,026,881/231,869
  6. Step 6: Final answer
    x = 1,029,762.61

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.