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Finding the Third Proportional to 190,720 and 280,245

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Solution

The third proportional to 190,720 and 280,245 is: 411,793.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,720 : 280,245 = 280,245 : x
  2. Step 2: Convert to fraction form
    190,720/280,245 = 280,245/x
  3. Step 3: Cross multiply
    190,720x = 280,245 × 280,245
  4. Step 4: Simplify right side
    190,720x = 78,537,260,025
  5. Step 5: Solve for x
    x = 78,537,260,025/190,720
  6. Step 6: Final answer
    x = 411,793.52

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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.