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Finding the Third Proportional to 3,879,312 and 8,430,108

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Solution

The third proportional to 3,879,312 and 8,430,108 is: 18,319,413.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879,312 : 8,430,108 = 8,430,108 : x
  2. Step 2: Convert to fraction form
    3,879,312/8,430,108 = 8,430,108/x
  3. Step 3: Cross multiply
    3,879,312x = 8,430,108 × 8,430,108
  4. Step 4: Simplify right side
    3,879,312x = 71,066,720,891,664
  5. Step 5: Solve for x
    x = 71,066,720,891,664/3,879,312
  6. Step 6: Final answer
    x = 18,319,413.57

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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.