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Finding the Third Proportional to 197,912 and 402,736

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Solution

The third proportional to 197,912 and 402,736 is: 819,537.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,912 : 402,736 = 402,736 : x
  2. Step 2: Convert to fraction form
    197,912/402,736 = 402,736/x
  3. Step 3: Cross multiply
    197,912x = 402,736 × 402,736
  4. Step 4: Simplify right side
    197,912x = 162,196,285,696
  5. Step 5: Solve for x
    x = 162,196,285,696/197,912
  6. Step 6: Final answer
    x = 819,537.40

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.