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Finding the Third Proportional to 396,943.50 and 519,142.50

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Solution

The third proportional to 396,943.50 and 519,142.50 is: 678,960.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,943.50 : 519,142.50 = 519,142.50 : x
  2. Step 2: Convert to fraction form
    396,943.50/519,142.50 = 519,142.50/x
  3. Step 3: Cross multiply
    396,943.50x = 519,142.50 × 519,142.50
  4. Step 4: Simplify right side
    396,943.50x = 269,508,935,306.25
  5. Step 5: Solve for x
    x = 269,508,935,306.25/396,943.50
  6. Step 6: Final answer
    x = 678,960.44

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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.