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Finding the Third Proportional to 8,267,720 and 12,409,822

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Solution

The third proportional to 8,267,720 and 12,409,822 is: 18,627,104.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,267,720 : 12,409,822 = 12,409,822 : x
  2. Step 2: Convert to fraction form
    8,267,720/12,409,822 = 12,409,822/x
  3. Step 3: Cross multiply
    8,267,720x = 12,409,822 × 12,409,822
  4. Step 4: Simplify right side
    8,267,720x = 154,003,682,071,684
  5. Step 5: Solve for x
    x = 154,003,682,071,684/8,267,720
  6. Step 6: Final answer
    x = 18,627,104.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.