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Finding the Third Proportional to 121,405.50 and 182,918.25

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Solution

The third proportional to 121,405.50 and 182,918.25 is: 275,597.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,405.50 : 182,918.25 = 182,918.25 : x
  2. Step 2: Convert to fraction form
    121,405.50/182,918.25 = 182,918.25/x
  3. Step 3: Cross multiply
    121,405.50x = 182,918.25 × 182,918.25
  4. Step 4: Simplify right side
    121,405.50x = 33,459,086,183.06
  5. Step 5: Solve for x
    x = 33,459,086,183.06/121,405.50
  6. Step 6: Final answer
    x = 275,597.78

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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.