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Finding the Third Proportional to 55,889 and 122,146

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Solution

The third proportional to 55,889 and 122,146 is: 266,951.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,889 : 122,146 = 122,146 : x
  2. Step 2: Convert to fraction form
    55,889/122,146 = 122,146/x
  3. Step 3: Cross multiply
    55,889x = 122,146 × 122,146
  4. Step 4: Simplify right side
    55,889x = 14,919,645,316
  5. Step 5: Solve for x
    x = 14,919,645,316/55,889
  6. Step 6: Final answer
    x = 266,951.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.