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Finding the Third Proportional to 18,696,686 and 27,970,311

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Solution

The third proportional to 18,696,686 and 27,970,311 is: 41,843,688.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,696,686 : 27,970,311 = 27,970,311 : x
  2. Step 2: Convert to fraction form
    18,696,686/27,970,311 = 27,970,311/x
  3. Step 3: Cross multiply
    18,696,686x = 27,970,311 × 27,970,311
  4. Step 4: Simplify right side
    18,696,686x = 782,338,297,436,721
  5. Step 5: Solve for x
    x = 782,338,297,436,721/18,696,686
  6. Step 6: Final answer
    x = 41,843,688.10

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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.