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Finding the Third Proportional to 55,369 and 122,158

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Solution

The third proportional to 55,369 and 122,158 is: 269,511.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,369 : 122,158 = 122,158 : x
  2. Step 2: Convert to fraction form
    55,369/122,158 = 122,158/x
  3. Step 3: Cross multiply
    55,369x = 122,158 × 122,158
  4. Step 4: Simplify right side
    55,369x = 14,922,576,964
  5. Step 5: Solve for x
    x = 14,922,576,964/55,369
  6. Step 6: Final answer
    x = 269,511.40

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.