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Finding the Third Proportional to 300,016 and 421,952

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Solution

The third proportional to 300,016 and 421,952 is: 593,446.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,016 : 421,952 = 421,952 : x
  2. Step 2: Convert to fraction form
    300,016/421,952 = 421,952/x
  3. Step 3: Cross multiply
    300,016x = 421,952 × 421,952
  4. Step 4: Simplify right side
    300,016x = 178,043,490,304
  5. Step 5: Solve for x
    x = 178,043,490,304/300,016
  6. Step 6: Final answer
    x = 593,446.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.