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Finding the Third Proportional to 69,419 and 150,340

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Solution

The third proportional to 69,419 and 150,340 is: 325,589.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,419 : 150,340 = 150,340 : x
  2. Step 2: Convert to fraction form
    69,419/150,340 = 150,340/x
  3. Step 3: Cross multiply
    69,419x = 150,340 × 150,340
  4. Step 4: Simplify right side
    69,419x = 22,602,115,600
  5. Step 5: Solve for x
    x = 22,602,115,600/69,419
  6. Step 6: Final answer
    x = 325,589.76

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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.