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Finding the Third Proportional to 409,860 and 840,132

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Solution

The third proportional to 409,860 and 840,132 is: 1,722,104.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,860 : 840,132 = 840,132 : x
  2. Step 2: Convert to fraction form
    409,860/840,132 = 840,132/x
  3. Step 3: Cross multiply
    409,860x = 840,132 × 840,132
  4. Step 4: Simplify right side
    409,860x = 705,821,777,424
  5. Step 5: Solve for x
    x = 705,821,777,424/409,860
  6. Step 6: Final answer
    x = 1,722,104.57

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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.