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Finding the Third Proportional to 11,970,408 and 18,573,147

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Solution

The third proportional to 11,970,408 and 18,573,147 is: 28,817,880.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970,408 : 18,573,147 = 18,573,147 : x
  2. Step 2: Convert to fraction form
    11,970,408/18,573,147 = 18,573,147/x
  3. Step 3: Cross multiply
    11,970,408x = 18,573,147 × 18,573,147
  4. Step 4: Simplify right side
    11,970,408x = 344,961,789,483,609
  5. Step 5: Solve for x
    x = 344,961,789,483,609/11,970,408
  6. Step 6: Final answer
    x = 28,817,880.68

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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.