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Finding the Third Proportional to 515,869 and 579,839

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Solution

The third proportional to 515,869 and 579,839 is: 651,741.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,869 : 579,839 = 579,839 : x
  2. Step 2: Convert to fraction form
    515,869/579,839 = 579,839/x
  3. Step 3: Cross multiply
    515,869x = 579,839 × 579,839
  4. Step 4: Simplify right side
    515,869x = 336,213,265,921
  5. Step 5: Solve for x
    x = 336,213,265,921/515,869
  6. Step 6: Final answer
    x = 651,741.56

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.