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Finding the Third Proportional to 300,026 and 421,971

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Solution

The third proportional to 300,026 and 421,971 is: 593,480.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,026 : 421,971 = 421,971 : x
  2. Step 2: Convert to fraction form
    300,026/421,971 = 421,971/x
  3. Step 3: Cross multiply
    300,026x = 421,971 × 421,971
  4. Step 4: Simplify right side
    300,026x = 178,059,524,841
  5. Step 5: Solve for x
    x = 178,059,524,841/300,026
  6. Step 6: Final answer
    x = 593,480.31

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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.