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Finding the Third Proportional to 190,542 and 280,112

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Solution

The third proportional to 190,542 and 280,112 is: 411,787.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,542 : 280,112 = 280,112 : x
  2. Step 2: Convert to fraction form
    190,542/280,112 = 280,112/x
  3. Step 3: Cross multiply
    190,542x = 280,112 × 280,112
  4. Step 4: Simplify right side
    190,542x = 78,462,732,544
  5. Step 5: Solve for x
    x = 78,462,732,544/190,542
  6. Step 6: Final answer
    x = 411,787.07

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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.