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Finding the Third Proportional to 421,147 and 921,026

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Solution

The third proportional to 421,147 and 921,026 is: 2,014,234.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,147 : 921,026 = 921,026 : x
  2. Step 2: Convert to fraction form
    421,147/921,026 = 921,026/x
  3. Step 3: Cross multiply
    421,147x = 921,026 × 921,026
  4. Step 4: Simplify right side
    421,147x = 848,288,892,676
  5. Step 5: Solve for x
    x = 848,288,892,676/421,147
  6. Step 6: Final answer
    x = 2,014,234.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.