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Finding the Third Proportional to 147,208 and 311,966

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Solution

The third proportional to 147,208 and 311,966 is: 661,124.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,208 : 311,966 = 311,966 : x
  2. Step 2: Convert to fraction form
    147,208/311,966 = 311,966/x
  3. Step 3: Cross multiply
    147,208x = 311,966 × 311,966
  4. Step 4: Simplify right side
    147,208x = 97,322,785,156
  5. Step 5: Solve for x
    x = 97,322,785,156/147,208
  6. Step 6: Final answer
    x = 661,124.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.