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Finding the Third Proportional to 406,978 and 622,611

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Solution

The third proportional to 406,978 and 622,611 is: 952,494.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,978 : 622,611 = 622,611 : x
  2. Step 2: Convert to fraction form
    406,978/622,611 = 622,611/x
  3. Step 3: Cross multiply
    406,978x = 622,611 × 622,611
  4. Step 4: Simplify right side
    406,978x = 387,644,457,321
  5. Step 5: Solve for x
    x = 387,644,457,321/406,978
  6. Step 6: Final answer
    x = 952,494.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.