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Finding the Third Proportional to 12,165,878 and 18,831,194

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Solution

The third proportional to 12,165,878 and 18,831,194 is: 29,148,234.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165,878 : 18,831,194 = 18,831,194 : x
  2. Step 2: Convert to fraction form
    12,165,878/18,831,194 = 18,831,194/x
  3. Step 3: Cross multiply
    12,165,878x = 18,831,194 × 18,831,194
  4. Step 4: Simplify right side
    12,165,878x = 354,613,867,465,636
  5. Step 5: Solve for x
    x = 354,613,867,465,636/12,165,878
  6. Step 6: Final answer
    x = 29,148,234.72

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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.