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Finding the Third Proportional to 55,487.81 and 122,286.38

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Solution

The third proportional to 55,487.81 and 122,286.38 is: 269,499.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,487.81 : 122,286.38 = 122,286.38 : x
  2. Step 2: Convert to fraction form
    55,487.81/122,286.38 = 122,286.38/x
  3. Step 3: Cross multiply
    55,487.81x = 122,286.38 × 122,286.38
  4. Step 4: Simplify right side
    55,487.81x = 14,953,957,510.64
  5. Step 5: Solve for x
    x = 14,953,957,510.64/55,487.81
  6. Step 6: Final answer
    x = 269,499.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.