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Finding the Third Proportional to 78,131.25 and 120,440.25

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Solution

The third proportional to 78,131.25 and 120,440.25 is: 185,660.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,131.25 : 120,440.25 = 120,440.25 : x
  2. Step 2: Convert to fraction form
    78,131.25/120,440.25 = 120,440.25/x
  3. Step 3: Cross multiply
    78,131.25x = 120,440.25 × 120,440.25
  4. Step 4: Simplify right side
    78,131.25x = 14,505,853,820.06
  5. Step 5: Solve for x
    x = 14,505,853,820.06/78,131.25
  6. Step 6: Final answer
    x = 185,660.08

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.