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Finding the Third Proportional to 339,591 and 459,564

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Solution

The third proportional to 339,591 and 459,564 is: 621,921.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,591 : 459,564 = 459,564 : x
  2. Step 2: Convert to fraction form
    339,591/459,564 = 459,564/x
  3. Step 3: Cross multiply
    339,591x = 459,564 × 459,564
  4. Step 4: Simplify right side
    339,591x = 211,199,070,096
  5. Step 5: Solve for x
    x = 211,199,070,096/339,591
  6. Step 6: Final answer
    x = 621,921.87

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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.