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Finding the Third Proportional to 517,945 and 1,138,675

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Solution

The third proportional to 517,945 and 1,138,675 is: 2,503,317.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,945 : 1,138,675 = 1,138,675 : x
  2. Step 2: Convert to fraction form
    517,945/1,138,675 = 1,138,675/x
  3. Step 3: Cross multiply
    517,945x = 1,138,675 × 1,138,675
  4. Step 4: Simplify right side
    517,945x = 1,296,580,755,625
  5. Step 5: Solve for x
    x = 1,296,580,755,625/517,945
  6. Step 6: Final answer
    x = 2,503,317.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.