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Finding the Third Proportional to 190,509.75 and 419,896.13

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Solution

The third proportional to 190,509.75 and 419,896.13 is: 925,478.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,509.75 : 419,896.13 = 419,896.13 : x
  2. Step 2: Convert to fraction form
    190,509.75/419,896.13 = 419,896.13/x
  3. Step 3: Cross multiply
    190,509.75x = 419,896.13 × 419,896.13
  4. Step 4: Simplify right side
    190,509.75x = 176,312,755,790.02
  5. Step 5: Solve for x
    x = 176,312,755,790.02/190,509.75
  6. Step 6: Final answer
    x = 925,478.91

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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.