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Finding the Third Proportional to 81,840,564 and 177,302,916

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Solution

The third proportional to 81,840,564 and 177,302,916 is: 384,116,659.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,840,564 : 177,302,916 = 177,302,916 : x
  2. Step 2: Convert to fraction form
    81,840,564/177,302,916 = 177,302,916/x
  3. Step 3: Cross multiply
    81,840,564x = 177,302,916 × 177,302,916
  4. Step 4: Simplify right side
    81,840,564x = 31,436,324,022,103,056
  5. Step 5: Solve for x
    x = 31,436,324,022,103,056/81,840,564
  6. Step 6: Final answer
    x = 384,116,659.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.