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Finding the Third Proportional to 121,824 and 185,112

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Solution

The third proportional to 121,824 and 185,112 is: 281,278.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,824 : 185,112 = 185,112 : x
  2. Step 2: Convert to fraction form
    121,824/185,112 = 185,112/x
  3. Step 3: Cross multiply
    121,824x = 185,112 × 185,112
  4. Step 4: Simplify right side
    121,824x = 34,266,452,544
  5. Step 5: Solve for x
    x = 34,266,452,544/121,824
  6. Step 6: Final answer
    x = 281,278.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.