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Finding the Third Proportional to 287,968 and 628,425

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Solution

The third proportional to 287,968 and 628,425 is: 1,371,395.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,968 : 628,425 = 628,425 : x
  2. Step 2: Convert to fraction form
    287,968/628,425 = 628,425/x
  3. Step 3: Cross multiply
    287,968x = 628,425 × 628,425
  4. Step 4: Simplify right side
    287,968x = 394,917,980,625
  5. Step 5: Solve for x
    x = 394,917,980,625/287,968
  6. Step 6: Final answer
    x = 1,371,395.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.