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Finding the Third Proportional to 122,958 and 271,800

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Solution

The third proportional to 122,958 and 271,800 is: 600,816.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,958 : 271,800 = 271,800 : x
  2. Step 2: Convert to fraction form
    122,958/271,800 = 271,800/x
  3. Step 3: Cross multiply
    122,958x = 271,800 × 271,800
  4. Step 4: Simplify right side
    122,958x = 73,875,240,000
  5. Step 5: Solve for x
    x = 73,875,240,000/122,958
  6. Step 6: Final answer
    x = 600,816.86

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.