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Finding the Third Proportional to 214,638.75 and 339,795

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Solution

The third proportional to 214,638.75 and 339,795 is: 537,930.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,638.75 : 339,795 = 339,795 : x
  2. Step 2: Convert to fraction form
    214,638.75/339,795 = 339,795/x
  3. Step 3: Cross multiply
    214,638.75x = 339,795 × 339,795
  4. Step 4: Simplify right side
    214,638.75x = 115,460,642,025
  5. Step 5: Solve for x
    x = 115,460,642,025/214,638.75
  6. Step 6: Final answer
    x = 537,930.09

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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.