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Finding the Third Proportional to 287,989 and 405,375

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Solution

The third proportional to 287,989 and 405,375 is: 570,608.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,989 : 405,375 = 405,375 : x
  2. Step 2: Convert to fraction form
    287,989/405,375 = 405,375/x
  3. Step 3: Cross multiply
    287,989x = 405,375 × 405,375
  4. Step 4: Simplify right side
    287,989x = 164,328,890,625
  5. Step 5: Solve for x
    x = 164,328,890,625/287,989
  6. Step 6: Final answer
    x = 570,608.22

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.