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Finding the Third Proportional to 409,886 and 840,182

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Solution

The third proportional to 409,886 and 840,182 is: 1,722,200.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,886 : 840,182 = 840,182 : x
  2. Step 2: Convert to fraction form
    409,886/840,182 = 840,182/x
  3. Step 3: Cross multiply
    409,886x = 840,182 × 840,182
  4. Step 4: Simplify right side
    409,886x = 705,905,793,124
  5. Step 5: Solve for x
    x = 705,905,793,124/409,886
  6. Step 6: Final answer
    x = 1,722,200.30

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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.