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Finding the Third Proportional to 8,218,947 and 13,089,497

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Solution

The third proportional to 8,218,947 and 13,089,497 is: 20,846,336.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,218,947 : 13,089,497 = 13,089,497 : x
  2. Step 2: Convert to fraction form
    8,218,947/13,089,497 = 13,089,497/x
  3. Step 3: Cross multiply
    8,218,947x = 13,089,497 × 13,089,497
  4. Step 4: Simplify right side
    8,218,947x = 171,334,931,713,009
  5. Step 5: Solve for x
    x = 171,334,931,713,009/8,218,947
  6. Step 6: Final answer
    x = 20,846,336.12

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.