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Finding the Third Proportional to 190,568 and 280,143

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Solution

The third proportional to 190,568 and 280,143 is: 411,822.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,568 : 280,143 = 280,143 : x
  2. Step 2: Convert to fraction form
    190,568/280,143 = 280,143/x
  3. Step 3: Cross multiply
    190,568x = 280,143 × 280,143
  4. Step 4: Simplify right side
    190,568x = 78,480,100,449
  5. Step 5: Solve for x
    x = 78,480,100,449/190,568
  6. Step 6: Final answer
    x = 411,822.03

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.