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Finding the Third Proportional to 287,365 and 628,234

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Solution

The third proportional to 287,365 and 628,234 is: 1,373,437.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,365 : 628,234 = 628,234 : x
  2. Step 2: Convert to fraction form
    287,365/628,234 = 628,234/x
  3. Step 3: Cross multiply
    287,365x = 628,234 × 628,234
  4. Step 4: Simplify right side
    287,365x = 394,677,958,756
  5. Step 5: Solve for x
    x = 394,677,958,756/287,365
  6. Step 6: Final answer
    x = 1,373,437.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.