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Finding the Third Proportional to 80,121.75 and 122,301.38

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Solution

The third proportional to 80,121.75 and 122,301.38 is: 186,686.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,121.75 : 122,301.38 = 122,301.38 : x
  2. Step 2: Convert to fraction form
    80,121.75/122,301.38 = 122,301.38/x
  3. Step 3: Cross multiply
    80,121.75x = 122,301.38 × 122,301.38
  4. Step 4: Simplify right side
    80,121.75x = 14,957,626,326.89
  5. Step 5: Solve for x
    x = 14,957,626,326.89/80,121.75
  6. Step 6: Final answer
    x = 186,686.22

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.