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Finding the Third Proportional to 339,561 and 459,517

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Solution

The third proportional to 339,561 and 459,517 is: 621,849.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,561 : 459,517 = 459,517 : x
  2. Step 2: Convert to fraction form
    339,561/459,517 = 459,517/x
  3. Step 3: Cross multiply
    339,561x = 459,517 × 459,517
  4. Step 4: Simplify right side
    339,561x = 211,155,873,289
  5. Step 5: Solve for x
    x = 211,155,873,289/339,561
  6. Step 6: Final answer
    x = 621,849.60

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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.