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Finding the Third Proportional to 131,946 and 311,163

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Solution

The third proportional to 131,946 and 311,163 is: 733,803.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,946 : 311,163 = 311,163 : x
  2. Step 2: Convert to fraction form
    131,946/311,163 = 311,163/x
  3. Step 3: Cross multiply
    131,946x = 311,163 × 311,163
  4. Step 4: Simplify right side
    131,946x = 96,822,412,569
  5. Step 5: Solve for x
    x = 96,822,412,569/131,946
  6. Step 6: Final answer
    x = 733,803.32

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.