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Finding the Third Proportional to 122,442.75 and 189,205.25

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Solution

The third proportional to 122,442.75 and 189,205.25 is: 292,370.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,442.75 : 189,205.25 = 189,205.25 : x
  2. Step 2: Convert to fraction form
    122,442.75/189,205.25 = 189,205.25/x
  3. Step 3: Cross multiply
    122,442.75x = 189,205.25 × 189,205.25
  4. Step 4: Simplify right side
    122,442.75x = 35,798,626,627.56
  5. Step 5: Solve for x
    x = 35,798,626,627.56/122,442.75
  6. Step 6: Final answer
    x = 292,370.33

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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.