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Finding the Third Proportional to 69,381 and 150,427

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Solution

The third proportional to 69,381 and 150,427 is: 326,145.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,381 : 150,427 = 150,427 : x
  2. Step 2: Convert to fraction form
    69,381/150,427 = 150,427/x
  3. Step 3: Cross multiply
    69,381x = 150,427 × 150,427
  4. Step 4: Simplify right side
    69,381x = 22,628,282,329
  5. Step 5: Solve for x
    x = 22,628,282,329/69,381
  6. Step 6: Final answer
    x = 326,145.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.