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Finding the Third Proportional to 287,859 and 628,116

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Solution

The third proportional to 287,859 and 628,116 is: 1,370,565.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,859 : 628,116 = 628,116 : x
  2. Step 2: Convert to fraction form
    287,859/628,116 = 628,116/x
  3. Step 3: Cross multiply
    287,859x = 628,116 × 628,116
  4. Step 4: Simplify right side
    287,859x = 394,529,709,456
  5. Step 5: Solve for x
    x = 394,529,709,456/287,859
  6. Step 6: Final answer
    x = 1,370,565.83

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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.