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Finding the Third Proportional to 121,405 and 183,801

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Solution

The third proportional to 121,405 and 183,801 is: 278,265.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,405 : 183,801 = 183,801 : x
  2. Step 2: Convert to fraction form
    121,405/183,801 = 183,801/x
  3. Step 3: Cross multiply
    121,405x = 183,801 × 183,801
  4. Step 4: Simplify right side
    121,405x = 33,782,807,601
  5. Step 5: Solve for x
    x = 33,782,807,601/121,405
  6. Step 6: Final answer
    x = 278,265.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.