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Finding the Third Proportional to 197,712 and 308,736

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Solution

The third proportional to 197,712 and 308,736 is: 482,104.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,712 : 308,736 = 308,736 : x
  2. Step 2: Convert to fraction form
    197,712/308,736 = 308,736/x
  3. Step 3: Cross multiply
    197,712x = 308,736 × 308,736
  4. Step 4: Simplify right side
    197,712x = 95,317,917,696
  5. Step 5: Solve for x
    x = 95,317,917,696/197,712
  6. Step 6: Final answer
    x = 482,104.87

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.