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Finding the Third Proportional to 197,863 and 402,713

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Solution

The third proportional to 197,863 and 402,713 is: 819,646.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,863 : 402,713 = 402,713 : x
  2. Step 2: Convert to fraction form
    197,863/402,713 = 402,713/x
  3. Step 3: Cross multiply
    197,863x = 402,713 × 402,713
  4. Step 4: Simplify right side
    197,863x = 162,177,760,369
  5. Step 5: Solve for x
    x = 162,177,760,369/197,863
  6. Step 6: Final answer
    x = 819,646.73

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.