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Finding the Third Proportional to 256,189.50 and 550,287

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Solution

The third proportional to 256,189.50 and 550,287 is: 1,181,999.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,189.50 : 550,287 = 550,287 : x
  2. Step 2: Convert to fraction form
    256,189.50/550,287 = 550,287/x
  3. Step 3: Cross multiply
    256,189.50x = 550,287 × 550,287
  4. Step 4: Simplify right side
    256,189.50x = 302,815,782,369
  5. Step 5: Solve for x
    x = 302,815,782,369/256,189.50
  6. Step 6: Final answer
    x = 1,181,999.19

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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.