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Finding the Third Proportional to 339,555 and 459,508

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Solution

The third proportional to 339,555 and 459,508 is: 621,836.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,555 : 459,508 = 459,508 : x
  2. Step 2: Convert to fraction form
    339,555/459,508 = 459,508/x
  3. Step 3: Cross multiply
    339,555x = 459,508 × 459,508
  4. Step 4: Simplify right side
    339,555x = 211,147,602,064
  5. Step 5: Solve for x
    x = 211,147,602,064/339,555
  6. Step 6: Final answer
    x = 621,836.23

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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.