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Finding the Third Proportional to 395,406 and 823,580

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Solution

The third proportional to 395,406 and 823,580 is: 1,715,411.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,406 : 823,580 = 823,580 : x
  2. Step 2: Convert to fraction form
    395,406/823,580 = 823,580/x
  3. Step 3: Cross multiply
    395,406x = 823,580 × 823,580
  4. Step 4: Simplify right side
    395,406x = 678,284,016,400
  5. Step 5: Solve for x
    x = 678,284,016,400/395,406
  6. Step 6: Final answer
    x = 1,715,411.54

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.