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Finding the Third Proportional to 13,509,975 and 19,907,631

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Solution

The third proportional to 13,509,975 and 19,907,631 is: 29,334,900.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509,975 : 19,907,631 = 19,907,631 : x
  2. Step 2: Convert to fraction form
    13,509,975/19,907,631 = 19,907,631/x
  3. Step 3: Cross multiply
    13,509,975x = 19,907,631 × 19,907,631
  4. Step 4: Simplify right side
    13,509,975x = 396,313,772,032,161
  5. Step 5: Solve for x
    x = 396,313,772,032,161/13,509,975
  6. Step 6: Final answer
    x = 29,334,900.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.