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Finding the Third Proportional to 621,978 and 990,171

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Solution

The third proportional to 621,978 and 990,171 is: 1,576,323.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,978 : 990,171 = 990,171 : x
  2. Step 2: Convert to fraction form
    621,978/990,171 = 990,171/x
  3. Step 3: Cross multiply
    621,978x = 990,171 × 990,171
  4. Step 4: Simplify right side
    621,978x = 980,438,609,241
  5. Step 5: Solve for x
    x = 980,438,609,241/621,978
  6. Step 6: Final answer
    x = 1,576,323.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.