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Finding the Third Proportional to 195,780 and 311,174

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Solution

The third proportional to 195,780 and 311,174 is: 494,581.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,780 : 311,174 = 311,174 : x
  2. Step 2: Convert to fraction form
    195,780/311,174 = 311,174/x
  3. Step 3: Cross multiply
    195,780x = 311,174 × 311,174
  4. Step 4: Simplify right side
    195,780x = 96,829,258,276
  5. Step 5: Solve for x
    x = 96,829,258,276/195,780
  6. Step 6: Final answer
    x = 494,581.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.