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Finding the Third Proportional to 69,030 and 150,983

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Solution

The third proportional to 69,030 and 150,983 is: 330,231.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,030 : 150,983 = 150,983 : x
  2. Step 2: Convert to fraction form
    69,030/150,983 = 150,983/x
  3. Step 3: Cross multiply
    69,030x = 150,983 × 150,983
  4. Step 4: Simplify right side
    69,030x = 22,795,866,289
  5. Step 5: Solve for x
    x = 22,795,866,289/69,030
  6. Step 6: Final answer
    x = 330,231.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.