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Finding the Third Proportional to 121,287.50 and 184,379.25

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Solution

The third proportional to 121,287.50 and 184,379.25 is: 280,290.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,287.50 : 184,379.25 = 184,379.25 : x
  2. Step 2: Convert to fraction form
    121,287.50/184,379.25 = 184,379.25/x
  3. Step 3: Cross multiply
    121,287.50x = 184,379.25 × 184,379.25
  4. Step 4: Simplify right side
    121,287.50x = 33,995,707,830.56
  5. Step 5: Solve for x
    x = 33,995,707,830.56/121,287.50
  6. Step 6: Final answer
    x = 280,290.28

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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.