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Finding the Third Proportional to 409,882 and 840,174

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Solution

The third proportional to 409,882 and 840,174 is: 1,722,184.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,882 : 840,174 = 840,174 : x
  2. Step 2: Convert to fraction form
    409,882/840,174 = 840,174/x
  3. Step 3: Cross multiply
    409,882x = 840,174 × 840,174
  4. Step 4: Simplify right side
    409,882x = 705,892,350,276
  5. Step 5: Solve for x
    x = 705,892,350,276/409,882
  6. Step 6: Final answer
    x = 1,722,184.31

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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.