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Finding the Third Proportional to 190,290.38 and 394,069.13

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Solution

The third proportional to 190,290.38 and 394,069.13 is: 816,071.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,290.38 : 394,069.13 = 394,069.13 : x
  2. Step 2: Convert to fraction form
    190,290.38/394,069.13 = 394,069.13/x
  3. Step 3: Cross multiply
    190,290.38x = 394,069.13 × 394,069.13
  4. Step 4: Simplify right side
    190,290.38x = 155,290,475,278.27
  5. Step 5: Solve for x
    x = 155,290,475,278.27/190,290.38
  6. Step 6: Final answer
    x = 816,071.10

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.