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Finding the Third Proportional to 378,833 and 575,161.50

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Solution

The third proportional to 378,833 and 575,161.50 is: 873,236.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,833 : 575,161.50 = 575,161.50 : x
  2. Step 2: Convert to fraction form
    378,833/575,161.50 = 575,161.50/x
  3. Step 3: Cross multiply
    378,833x = 575,161.50 × 575,161.50
  4. Step 4: Simplify right side
    378,833x = 330,810,751,082.25
  5. Step 5: Solve for x
    x = 330,810,751,082.25/378,833
  6. Step 6: Final answer
    x = 873,236.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.