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Finding the Third Proportional to 8,496,864 and 12,815,811

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Solution

The third proportional to 8,496,864 and 12,815,811 is: 19,330,074.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,496,864 : 12,815,811 = 12,815,811 : x
  2. Step 2: Convert to fraction form
    8,496,864/12,815,811 = 12,815,811/x
  3. Step 3: Cross multiply
    8,496,864x = 12,815,811 × 12,815,811
  4. Step 4: Simplify right side
    8,496,864x = 164,245,011,587,721
  5. Step 5: Solve for x
    x = 164,245,011,587,721/8,496,864
  6. Step 6: Final answer
    x = 19,330,074.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.