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Finding the Third Proportional to 121,145 and 185,949

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Solution

The third proportional to 121,145 and 185,949 is: 285,418.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,145 : 185,949 = 185,949 : x
  2. Step 2: Convert to fraction form
    121,145/185,949 = 185,949/x
  3. Step 3: Cross multiply
    121,145x = 185,949 × 185,949
  4. Step 4: Simplify right side
    121,145x = 34,577,030,601
  5. Step 5: Solve for x
    x = 34,577,030,601/121,145
  6. Step 6: Final answer
    x = 285,418.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.