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Finding the Third Proportional to 8,664,009 and 13,469,865

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Solution

The third proportional to 8,664,009 and 13,469,865 is: 20,941,490.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,664,009 : 13,469,865 = 13,469,865 : x
  2. Step 2: Convert to fraction form
    8,664,009/13,469,865 = 13,469,865/x
  3. Step 3: Cross multiply
    8,664,009x = 13,469,865 × 13,469,865
  4. Step 4: Simplify right side
    8,664,009x = 181,437,263,118,225
  5. Step 5: Solve for x
    x = 181,437,263,118,225/8,664,009
  6. Step 6: Final answer
    x = 20,941,490.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.