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Finding the Third Proportional to 339,543 and 475,899.75

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Solution

The third proportional to 339,543 and 475,899.75 is: 667,015.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,543 : 475,899.75 = 475,899.75 : x
  2. Step 2: Convert to fraction form
    339,543/475,899.75 = 475,899.75/x
  3. Step 3: Cross multiply
    339,543x = 475,899.75 × 475,899.75
  4. Step 4: Simplify right side
    339,543x = 226,480,572,050.06
  5. Step 5: Solve for x
    x = 226,480,572,050.06/339,543
  6. Step 6: Final answer
    x = 667,015.88

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.