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Finding the Third Proportional to 69,143 and 150,800

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Solution

The third proportional to 69,143 and 150,800 is: 328,892.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,143 : 150,800 = 150,800 : x
  2. Step 2: Convert to fraction form
    69,143/150,800 = 150,800/x
  3. Step 3: Cross multiply
    69,143x = 150,800 × 150,800
  4. Step 4: Simplify right side
    69,143x = 22,740,640,000
  5. Step 5: Solve for x
    x = 22,740,640,000/69,143
  6. Step 6: Final answer
    x = 328,892.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.