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Finding the Third Proportional to 331,395 and 727,305

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Solution

The third proportional to 331,395 and 727,305 is: 1,596,199.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,395 : 727,305 = 727,305 : x
  2. Step 2: Convert to fraction form
    331,395/727,305 = 727,305/x
  3. Step 3: Cross multiply
    331,395x = 727,305 × 727,305
  4. Step 4: Simplify right side
    331,395x = 528,972,563,025
  5. Step 5: Solve for x
    x = 528,972,563,025/331,395
  6. Step 6: Final answer
    x = 1,596,199.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.