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Finding the Third Proportional to 190,682 and 280,515

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Solution

The third proportional to 190,682 and 280,515 is: 412,669.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,682 : 280,515 = 280,515 : x
  2. Step 2: Convert to fraction form
    190,682/280,515 = 280,515/x
  3. Step 3: Cross multiply
    190,682x = 280,515 × 280,515
  4. Step 4: Simplify right side
    190,682x = 78,688,665,225
  5. Step 5: Solve for x
    x = 78,688,665,225/190,682
  6. Step 6: Final answer
    x = 412,669.60

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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.