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Finding the Third Proportional to 190,388.39 and 418,146.05

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Solution

The third proportional to 190,388.39 and 418,146.05 is: 918,365.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,388.39 : 418,146.05 = 418,146.05 : x
  2. Step 2: Convert to fraction form
    190,388.39/418,146.05 = 418,146.05/x
  3. Step 3: Cross multiply
    190,388.39x = 418,146.05 × 418,146.05
  4. Step 4: Simplify right side
    190,388.39x = 174,846,116,517.19
  5. Step 5: Solve for x
    x = 174,846,116,517.19/190,388.39
  6. Step 6: Final answer
    x = 918,365.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.