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Finding the Third Proportional to 190,767 and 280,299

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Solution

The third proportional to 190,767 and 280,299 is: 411,850.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,767 : 280,299 = 280,299 : x
  2. Step 2: Convert to fraction form
    190,767/280,299 = 280,299/x
  3. Step 3: Cross multiply
    190,767x = 280,299 × 280,299
  4. Step 4: Simplify right side
    190,767x = 78,567,529,401
  5. Step 5: Solve for x
    x = 78,567,529,401/190,767
  6. Step 6: Final answer
    x = 411,850.74

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.