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Finding the Third Proportional to 140,851 and 211,236

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Solution

The third proportional to 140,851 and 211,236 is: 316,793.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,851 : 211,236 = 211,236 : x
  2. Step 2: Convert to fraction form
    140,851/211,236 = 211,236/x
  3. Step 3: Cross multiply
    140,851x = 211,236 × 211,236
  4. Step 4: Simplify right side
    140,851x = 44,620,647,696
  5. Step 5: Solve for x
    x = 44,620,647,696/140,851
  6. Step 6: Final answer
    x = 316,793.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.