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Finding the Third Proportional to 12,169,116 and 18,215,766

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Solution

The third proportional to 12,169,116 and 18,215,766 is: 27,266,905.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,169,116 : 18,215,766 = 18,215,766 : x
  2. Step 2: Convert to fraction form
    12,169,116/18,215,766 = 18,215,766/x
  3. Step 3: Cross multiply
    12,169,116x = 18,215,766 × 18,215,766
  4. Step 4: Simplify right side
    12,169,116x = 331,814,130,966,756
  5. Step 5: Solve for x
    x = 331,814,130,966,756/12,169,116
  6. Step 6: Final answer
    x = 27,266,905.09

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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.