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Finding the Third Proportional to 442,072 and 946,192

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Solution

The third proportional to 442,072 and 946,192 is: 2,025,188.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,072 : 946,192 = 946,192 : x
  2. Step 2: Convert to fraction form
    442,072/946,192 = 946,192/x
  3. Step 3: Cross multiply
    442,072x = 946,192 × 946,192
  4. Step 4: Simplify right side
    442,072x = 895,279,300,864
  5. Step 5: Solve for x
    x = 895,279,300,864/442,072
  6. Step 6: Final answer
    x = 2,025,188.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.