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Finding the Third Proportional to 123,201 and 136,161

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Solution

The third proportional to 123,201 and 136,161 is: 150,484.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,201 : 136,161 = 136,161 : x
  2. Step 2: Convert to fraction form
    123,201/136,161 = 136,161/x
  3. Step 3: Cross multiply
    123,201x = 136,161 × 136,161
  4. Step 4: Simplify right side
    123,201x = 18,539,817,921
  5. Step 5: Solve for x
    x = 18,539,817,921/123,201
  6. Step 6: Final answer
    x = 150,484.31

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.