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Finding the Third Proportional to 217,044 and 339,458.25

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Solution

The third proportional to 217,044 and 339,458.25 is: 530,914.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,044 : 339,458.25 = 339,458.25 : x
  2. Step 2: Convert to fraction form
    217,044/339,458.25 = 339,458.25/x
  3. Step 3: Cross multiply
    217,044x = 339,458.25 × 339,458.25
  4. Step 4: Simplify right side
    217,044x = 115,231,903,493.06
  5. Step 5: Solve for x
    x = 115,231,903,493.06/217,044
  6. Step 6: Final answer
    x = 530,914.95

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.