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Finding the Third Proportional to 3,879,313 and 8,430,109

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Solution

The third proportional to 3,879,313 and 8,430,109 is: 18,319,413.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879,313 : 8,430,109 = 8,430,109 : x
  2. Step 2: Convert to fraction form
    3,879,313/8,430,109 = 8,430,109/x
  3. Step 3: Cross multiply
    3,879,313x = 8,430,109 × 8,430,109
  4. Step 4: Simplify right side
    3,879,313x = 71,066,737,751,881
  5. Step 5: Solve for x
    x = 71,066,737,751,881/3,879,313
  6. Step 6: Final answer
    x = 18,319,413.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.