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Finding the Third Proportional to 339,553 and 459,505

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Solution

The third proportional to 339,553 and 459,505 is: 621,831.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,553 : 459,505 = 459,505 : x
  2. Step 2: Convert to fraction form
    339,553/459,505 = 459,505/x
  3. Step 3: Cross multiply
    339,553x = 459,505 × 459,505
  4. Step 4: Simplify right side
    339,553x = 211,144,845,025
  5. Step 5: Solve for x
    x = 211,144,845,025/339,553
  6. Step 6: Final answer
    x = 621,831.78

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.