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Finding the Third Proportional to 122,079 and 189,003.75

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Solution

The third proportional to 122,079 and 189,003.75 is: 292,617.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,079 : 189,003.75 = 189,003.75 : x
  2. Step 2: Convert to fraction form
    122,079/189,003.75 = 189,003.75/x
  3. Step 3: Cross multiply
    122,079x = 189,003.75 × 189,003.75
  4. Step 4: Simplify right side
    122,079x = 35,722,417,514.06
  5. Step 5: Solve for x
    x = 35,722,417,514.06/122,079
  6. Step 6: Final answer
    x = 292,617.22

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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.