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Finding the Third Proportional to 515,123 and 787,995

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Solution

The third proportional to 515,123 and 787,995 is: 1,205,413.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,123 : 787,995 = 787,995 : x
  2. Step 2: Convert to fraction form
    515,123/787,995 = 787,995/x
  3. Step 3: Cross multiply
    515,123x = 787,995 × 787,995
  4. Step 4: Simplify right side
    515,123x = 620,936,120,025
  5. Step 5: Solve for x
    x = 620,936,120,025/515,123
  6. Step 6: Final answer
    x = 1,205,413.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.