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Finding the Third Proportional to 213,834 and 311,243

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Solution

The third proportional to 213,834 and 311,243 is: 453,025.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,834 : 311,243 = 311,243 : x
  2. Step 2: Convert to fraction form
    213,834/311,243 = 311,243/x
  3. Step 3: Cross multiply
    213,834x = 311,243 × 311,243
  4. Step 4: Simplify right side
    213,834x = 96,872,205,049
  5. Step 5: Solve for x
    x = 96,872,205,049/213,834
  6. Step 6: Final answer
    x = 453,025.27

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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.