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Finding the Third Proportional to 34,100,068 and 73,051,976

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Solution

The third proportional to 34,100,068 and 73,051,976 is: 156,497,963.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,100,068 : 73,051,976 = 73,051,976 : x
  2. Step 2: Convert to fraction form
    34,100,068/73,051,976 = 73,051,976/x
  3. Step 3: Cross multiply
    34,100,068x = 73,051,976 × 73,051,976
  4. Step 4: Simplify right side
    34,100,068x = 5,336,591,197,504,576
  5. Step 5: Solve for x
    x = 5,336,591,197,504,576/34,100,068
  6. Step 6: Final answer
    x = 156,497,963.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.