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Finding the Third Proportional to 13,121,625 and 18,470,087.25

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Solution

The third proportional to 13,121,625 and 18,470,087.25 is: 25,998,618.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,121,625 : 18,470,087.25 = 18,470,087.25 : x
  2. Step 2: Convert to fraction form
    13,121,625/18,470,087.25 = 18,470,087.25/x
  3. Step 3: Cross multiply
    13,121,625x = 18,470,087.25 × 18,470,087.25
  4. Step 4: Simplify right side
    13,121,625x = 341,144,123,022,612.56
  5. Step 5: Solve for x
    x = 341,144,123,022,612.56/13,121,625
  6. Step 6: Final answer
    x = 25,998,618.54

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.