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Finding the Third Proportional to 120,185 and 174,081

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Solution

The third proportional to 120,185 and 174,081 is: 252,146.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,185 : 174,081 = 174,081 : x
  2. Step 2: Convert to fraction form
    120,185/174,081 = 174,081/x
  3. Step 3: Cross multiply
    120,185x = 174,081 × 174,081
  4. Step 4: Simplify right side
    120,185x = 30,304,194,561
  5. Step 5: Solve for x
    x = 30,304,194,561/120,185
  6. Step 6: Final answer
    x = 252,146.23

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.