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Finding the Third Proportional to 39,834,105 and 81,129,954

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Solution

The third proportional to 39,834,105 and 81,129,954 is: 165,237,035.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,834,105 : 81,129,954 = 81,129,954 : x
  2. Step 2: Convert to fraction form
    39,834,105/81,129,954 = 81,129,954/x
  3. Step 3: Cross multiply
    39,834,105x = 81,129,954 × 81,129,954
  4. Step 4: Simplify right side
    39,834,105x = 6,582,069,436,042,116
  5. Step 5: Solve for x
    x = 6,582,069,436,042,116/39,834,105
  6. Step 6: Final answer
    x = 165,237,035.85

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.