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Finding the Third Proportional to 396,946.50 and 519,147

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Solution

The third proportional to 396,946.50 and 519,147 is: 678,967.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,946.50 : 519,147 = 519,147 : x
  2. Step 2: Convert to fraction form
    396,946.50/519,147 = 519,147/x
  3. Step 3: Cross multiply
    396,946.50x = 519,147 × 519,147
  4. Step 4: Simplify right side
    396,946.50x = 269,513,607,609
  5. Step 5: Solve for x
    x = 269,513,607,609/396,946.50
  6. Step 6: Final answer
    x = 678,967.08

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.