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Finding the Third Proportional to 71,742,475,104 and 154,131,764,450

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Solution

The third proportional to 71,742,475,104 and 154,131,764,450 is: 331,137,178,889.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,742,475,104 : 154,131,764,450 = 154,131,764,450 : x
  2. Step 2: Convert to fraction form
    71,742,475,104/154,131,764,450 = 154,131,764,450/x
  3. Step 3: Cross multiply
    71,742,475,104x = 154,131,764,450 × 154,131,764,450
  4. Step 4: Simplify right side
    71,742,475,104x = 23,756,600,812,470,282,485,760
  5. Step 5: Solve for x
    x = 23,756,600,812,470,282,485,760/71,742,475,104
  6. Step 6: Final answer
    x = 331,137,178,889.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.