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Finding the Third Proportional to 122,451.75 and 189,236.25

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Solution

The third proportional to 122,451.75 and 189,236.25 is: 292,444.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,451.75 : 189,236.25 = 189,236.25 : x
  2. Step 2: Convert to fraction form
    122,451.75/189,236.25 = 189,236.25/x
  3. Step 3: Cross multiply
    122,451.75x = 189,236.25 × 189,236.25
  4. Step 4: Simplify right side
    122,451.75x = 35,810,358,314.06
  5. Step 5: Solve for x
    x = 35,810,358,314.06/122,451.75
  6. Step 6: Final answer
    x = 292,444.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.