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Finding the Third Proportional to 190,254.75 and 409,942.50

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Solution

The third proportional to 190,254.75 and 409,942.50 is: 883,304.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,254.75 : 409,942.50 = 409,942.50 : x
  2. Step 2: Convert to fraction form
    190,254.75/409,942.50 = 409,942.50/x
  3. Step 3: Cross multiply
    190,254.75x = 409,942.50 × 409,942.50
  4. Step 4: Simplify right side
    190,254.75x = 168,052,853,306.25
  5. Step 5: Solve for x
    x = 168,052,853,306.25/190,254.75
  6. Step 6: Final answer
    x = 883,304.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.