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Finding the Third Proportional to 214,488 and 339,912

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Solution

The third proportional to 214,488 and 339,912 is: 538,678.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,488 : 339,912 = 339,912 : x
  2. Step 2: Convert to fraction form
    214,488/339,912 = 339,912/x
  3. Step 3: Cross multiply
    214,488x = 339,912 × 339,912
  4. Step 4: Simplify right side
    214,488x = 115,540,167,744
  5. Step 5: Solve for x
    x = 115,540,167,744/214,488
  6. Step 6: Final answer
    x = 538,678.94

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.