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Finding the Third Proportional to 78,993 and 121,129.25

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Solution

The third proportional to 78,993 and 121,129.25 is: 185,741.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,993 : 121,129.25 = 121,129.25 : x
  2. Step 2: Convert to fraction form
    78,993/121,129.25 = 121,129.25/x
  3. Step 3: Cross multiply
    78,993x = 121,129.25 × 121,129.25
  4. Step 4: Simplify right side
    78,993x = 14,672,295,205.56
  5. Step 5: Solve for x
    x = 14,672,295,205.56/78,993
  6. Step 6: Final answer
    x = 185,741.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.