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Finding the Third Proportional to 190,529 and 280,285.50

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Solution

The third proportional to 190,529 and 280,285.50 is: 412,325.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,529 : 280,285.50 = 280,285.50 : x
  2. Step 2: Convert to fraction form
    190,529/280,285.50 = 280,285.50/x
  3. Step 3: Cross multiply
    190,529x = 280,285.50 × 280,285.50
  4. Step 4: Simplify right side
    190,529x = 78,559,961,510.25
  5. Step 5: Solve for x
    x = 78,559,961,510.25/190,529
  6. Step 6: Final answer
    x = 412,325.48

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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.