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Finding the Third Proportional to 197,847 and 306,810

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Solution

The third proportional to 197,847 and 306,810 is: 475,783.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,847 : 306,810 = 306,810 : x
  2. Step 2: Convert to fraction form
    197,847/306,810 = 306,810/x
  3. Step 3: Cross multiply
    197,847x = 306,810 × 306,810
  4. Step 4: Simplify right side
    197,847x = 94,132,376,100
  5. Step 5: Solve for x
    x = 94,132,376,100/197,847
  6. Step 6: Final answer
    x = 475,783.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.