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Finding the Third Proportional to 406,992 and 622,584

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Solution

The third proportional to 406,992 and 622,584 is: 952,379.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,992 : 622,584 = 622,584 : x
  2. Step 2: Convert to fraction form
    406,992/622,584 = 622,584/x
  3. Step 3: Cross multiply
    406,992x = 622,584 × 622,584
  4. Step 4: Simplify right side
    406,992x = 387,610,837,056
  5. Step 5: Solve for x
    x = 387,610,837,056/406,992
  6. Step 6: Final answer
    x = 952,379.50

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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.