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Finding the Third Proportional to 214,380 and 339,768

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Solution

The third proportional to 214,380 and 339,768 is: 538,493.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,380 : 339,768 = 339,768 : x
  2. Step 2: Convert to fraction form
    214,380/339,768 = 339,768/x
  3. Step 3: Cross multiply
    214,380x = 339,768 × 339,768
  4. Step 4: Simplify right side
    214,380x = 115,442,293,824
  5. Step 5: Solve for x
    x = 115,442,293,824/214,380
  6. Step 6: Final answer
    x = 538,493.77

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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.