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Finding the Third Proportional to 121,439 and 183,855

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Solution

The third proportional to 121,439 and 183,855 is: 278,350.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,439 : 183,855 = 183,855 : x
  2. Step 2: Convert to fraction form
    121,439/183,855 = 183,855/x
  3. Step 3: Cross multiply
    121,439x = 183,855 × 183,855
  4. Step 4: Simplify right side
    121,439x = 33,802,661,025
  5. Step 5: Solve for x
    x = 33,802,661,025/121,439
  6. Step 6: Final answer
    x = 278,350.95

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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.