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Finding the Third Proportional to 292,198 and 628,782

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Solution

The third proportional to 292,198 and 628,782 is: 1,353,078.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,198 : 628,782 = 628,782 : x
  2. Step 2: Convert to fraction form
    292,198/628,782 = 628,782/x
  3. Step 3: Cross multiply
    292,198x = 628,782 × 628,782
  4. Step 4: Simplify right side
    292,198x = 395,366,803,524
  5. Step 5: Solve for x
    x = 395,366,803,524/292,198
  6. Step 6: Final answer
    x = 1,353,078.40

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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.