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Finding the Third Proportional to 190,761.75 and 418,969.13

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Solution

The third proportional to 190,761.75 and 418,969.13 is: 920,179.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,761.75 : 418,969.13 = 418,969.13 : x
  2. Step 2: Convert to fraction form
    190,761.75/418,969.13 = 418,969.13/x
  3. Step 3: Cross multiply
    190,761.75x = 418,969.13 × 418,969.13
  4. Step 4: Simplify right side
    190,761.75x = 175,535,127,703.27
  5. Step 5: Solve for x
    x = 175,535,127,703.27/190,761.75
  6. Step 6: Final answer
    x = 920,179.90

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