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Finding the Third Proportional to 204,313 and 280,457

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Solution

The third proportional to 204,313 and 280,457 is: 384,978.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,313 : 280,457 = 280,457 : x
  2. Step 2: Convert to fraction form
    204,313/280,457 = 280,457/x
  3. Step 3: Cross multiply
    204,313x = 280,457 × 280,457
  4. Step 4: Simplify right side
    204,313x = 78,656,128,849
  5. Step 5: Solve for x
    x = 78,656,128,849/204,313
  6. Step 6: Final answer
    x = 384,978.58

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.