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Finding the Third Proportional to 190,932 and 280,552

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Solution

The third proportional to 190,932 and 280,552 is: 412,237.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,932 : 280,552 = 280,552 : x
  2. Step 2: Convert to fraction form
    190,932/280,552 = 280,552/x
  3. Step 3: Cross multiply
    190,932x = 280,552 × 280,552
  4. Step 4: Simplify right side
    190,932x = 78,709,424,704
  5. Step 5: Solve for x
    x = 78,709,424,704/190,932
  6. Step 6: Final answer
    x = 412,237.99

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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.