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Finding the Third Proportional to 409,861 and 840,134

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Solution

The third proportional to 409,861 and 840,134 is: 1,722,108.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,861 : 840,134 = 840,134 : x
  2. Step 2: Convert to fraction form
    409,861/840,134 = 840,134/x
  3. Step 3: Cross multiply
    409,861x = 840,134 × 840,134
  4. Step 4: Simplify right side
    409,861x = 705,825,137,956
  5. Step 5: Solve for x
    x = 705,825,137,956/409,861
  6. Step 6: Final answer
    x = 1,722,108.56

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.