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Finding the Third Proportional to 256,206 and 550,317

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Solution

The third proportional to 256,206 and 550,317 is: 1,182,051.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,206 : 550,317 = 550,317 : x
  2. Step 2: Convert to fraction form
    256,206/550,317 = 550,317/x
  3. Step 3: Cross multiply
    256,206x = 550,317 × 550,317
  4. Step 4: Simplify right side
    256,206x = 302,848,800,489
  5. Step 5: Solve for x
    x = 302,848,800,489/256,206
  6. Step 6: Final answer
    x = 1,182,051.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.