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Finding the Third Proportional to 223,121 and 339,910

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Solution

The third proportional to 223,121 and 339,910 is: 517,830.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,121 : 339,910 = 339,910 : x
  2. Step 2: Convert to fraction form
    223,121/339,910 = 339,910/x
  3. Step 3: Cross multiply
    223,121x = 339,910 × 339,910
  4. Step 4: Simplify right side
    223,121x = 115,538,808,100
  5. Step 5: Solve for x
    x = 115,538,808,100/223,121
  6. Step 6: Final answer
    x = 517,830.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.