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Finding the Third Proportional to 197,942 and 402,901

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Solution

The third proportional to 197,942 and 402,901 is: 820,084.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,942 : 402,901 = 402,901 : x
  2. Step 2: Convert to fraction form
    197,942/402,901 = 402,901/x
  3. Step 3: Cross multiply
    197,942x = 402,901 × 402,901
  4. Step 4: Simplify right side
    197,942x = 162,329,215,801
  5. Step 5: Solve for x
    x = 162,329,215,801/197,942
  6. Step 6: Final answer
    x = 820,084.75

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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.