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Finding the Third Proportional to 292,783 and 639,116

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Solution

The third proportional to 292,783 and 639,116 is: 1,395,126.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,783 : 639,116 = 639,116 : x
  2. Step 2: Convert to fraction form
    292,783/639,116 = 639,116/x
  3. Step 3: Cross multiply
    292,783x = 639,116 × 639,116
  4. Step 4: Simplify right side
    292,783x = 408,469,261,456
  5. Step 5: Solve for x
    x = 408,469,261,456/292,783
  6. Step 6: Final answer
    x = 1,395,126.29

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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.