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Finding the Third Proportional to 69,828 and 150,729

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Solution

The third proportional to 69,828 and 150,729 is: 325,359.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,828 : 150,729 = 150,729 : x
  2. Step 2: Convert to fraction form
    69,828/150,729 = 150,729/x
  3. Step 3: Cross multiply
    69,828x = 150,729 × 150,729
  4. Step 4: Simplify right side
    69,828x = 22,719,231,441
  5. Step 5: Solve for x
    x = 22,719,231,441/69,828
  6. Step 6: Final answer
    x = 325,359.90

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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.