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Finding the Third Proportional to 69,485,574 and 150,408,972

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Solution

The third proportional to 69,485,574 and 150,408,972 is: 325,576,339.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,485,574 : 150,408,972 = 150,408,972 : x
  2. Step 2: Convert to fraction form
    69,485,574/150,408,972 = 150,408,972/x
  3. Step 3: Cross multiply
    69,485,574x = 150,408,972 × 150,408,972
  4. Step 4: Simplify right side
    69,485,574x = 22,622,858,858,096,784
  5. Step 5: Solve for x
    x = 22,622,858,858,096,784/69,485,574
  6. Step 6: Final answer
    x = 325,576,339.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.