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Finding the Third Proportional to 292,589 and 628,826

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Solution

The third proportional to 292,589 and 628,826 is: 1,351,459.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,589 : 628,826 = 628,826 : x
  2. Step 2: Convert to fraction form
    292,589/628,826 = 628,826/x
  3. Step 3: Cross multiply
    292,589x = 628,826 × 628,826
  4. Step 4: Simplify right side
    292,589x = 395,422,138,276
  5. Step 5: Solve for x
    x = 395,422,138,276/292,589
  6. Step 6: Final answer
    x = 1,351,459.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.