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Finding the Third Proportional to 13,869,900 and 18,403,876

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Solution

The third proportional to 13,869,900 and 18,403,876 is: 24,419,977.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,869,900 : 18,403,876 = 18,403,876 : x
  2. Step 2: Convert to fraction form
    13,869,900/18,403,876 = 18,403,876/x
  3. Step 3: Cross multiply
    13,869,900x = 18,403,876 × 18,403,876
  4. Step 4: Simplify right side
    13,869,900x = 338,702,651,823,376
  5. Step 5: Solve for x
    x = 338,702,651,823,376/13,869,900
  6. Step 6: Final answer
    x = 24,419,977.93

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.