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Finding the Third Proportional to 339,021 and 512,910

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Solution

The third proportional to 339,021 and 512,910 is: 775,989.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,021 : 512,910 = 512,910 : x
  2. Step 2: Convert to fraction form
    339,021/512,910 = 512,910/x
  3. Step 3: Cross multiply
    339,021x = 512,910 × 512,910
  4. Step 4: Simplify right side
    339,021x = 263,076,668,100
  5. Step 5: Solve for x
    x = 263,076,668,100/339,021
  6. Step 6: Final answer
    x = 775,989.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.