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Finding the Third Proportional to 221,768 and 339,305

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Solution

The third proportional to 221,768 and 339,305 is: 519,136.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,768 : 339,305 = 339,305 : x
  2. Step 2: Convert to fraction form
    221,768/339,305 = 339,305/x
  3. Step 3: Cross multiply
    221,768x = 339,305 × 339,305
  4. Step 4: Simplify right side
    221,768x = 115,127,883,025
  5. Step 5: Solve for x
    x = 115,127,883,025/221,768
  6. Step 6: Final answer
    x = 519,136.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.