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Finding the Third Proportional to 211,450 and 309,236

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Solution

The third proportional to 211,450 and 309,236 is: 452,243.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,450 : 309,236 = 309,236 : x
  2. Step 2: Convert to fraction form
    211,450/309,236 = 309,236/x
  3. Step 3: Cross multiply
    211,450x = 309,236 × 309,236
  4. Step 4: Simplify right side
    211,450x = 95,626,903,696
  5. Step 5: Solve for x
    x = 95,626,903,696/211,450
  6. Step 6: Final answer
    x = 452,243.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.