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Finding the Third Proportional to 122,180.06 and 215,380.69

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Solution

The third proportional to 122,180.06 and 215,380.69 is: 379,676.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,180.06 : 215,380.69 = 215,380.69 : x
  2. Step 2: Convert to fraction form
    122,180.06/215,380.69 = 215,380.69/x
  3. Step 3: Cross multiply
    122,180.06x = 215,380.69 × 215,380.69
  4. Step 4: Simplify right side
    122,180.06x = 46,388,840,547.97
  5. Step 5: Solve for x
    x = 46,388,840,547.97/122,180.06
  6. Step 6: Final answer
    x = 379,676.03

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.