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Finding the Third Proportional to 3,879,333 and 8,430,145

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Solution

The third proportional to 3,879,333 and 8,430,145 is: 18,319,475.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879,333 : 8,430,145 = 8,430,145 : x
  2. Step 2: Convert to fraction form
    3,879,333/8,430,145 = 8,430,145/x
  3. Step 3: Cross multiply
    3,879,333x = 8,430,145 × 8,430,145
  4. Step 4: Simplify right side
    3,879,333x = 71,067,344,721,025
  5. Step 5: Solve for x
    x = 71,067,344,721,025/3,879,333
  6. Step 6: Final answer
    x = 18,319,475.21

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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.