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Finding the Third Proportional to 8,584,569 and 18,412,858

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Solution

The third proportional to 8,584,569 and 18,412,858 is: 39,493,344.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,584,569 : 18,412,858 = 18,412,858 : x
  2. Step 2: Convert to fraction form
    8,584,569/18,412,858 = 18,412,858/x
  3. Step 3: Cross multiply
    8,584,569x = 18,412,858 × 18,412,858
  4. Step 4: Simplify right side
    8,584,569x = 339,033,339,728,164
  5. Step 5: Solve for x
    x = 339,033,339,728,164/8,584,569
  6. Step 6: Final answer
    x = 39,493,344.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.