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Finding the Third Proportional to 339,840 and 475,416

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Solution

The third proportional to 339,840 and 475,416 is: 665,078.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,840 : 475,416 = 475,416 : x
  2. Step 2: Convert to fraction form
    339,840/475,416 = 475,416/x
  3. Step 3: Cross multiply
    339,840x = 475,416 × 475,416
  4. Step 4: Simplify right side
    339,840x = 226,020,373,056
  5. Step 5: Solve for x
    x = 226,020,373,056/339,840
  6. Step 6: Final answer
    x = 665,078.78

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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.