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Finding the Third Proportional to 384,201.50 and 617,309

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Solution

The third proportional to 384,201.50 and 617,309 is: 991,850.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,201.50 : 617,309 = 617,309 : x
  2. Step 2: Convert to fraction form
    384,201.50/617,309 = 617,309/x
  3. Step 3: Cross multiply
    384,201.50x = 617,309 × 617,309
  4. Step 4: Simplify right side
    384,201.50x = 381,070,401,481
  5. Step 5: Solve for x
    x = 381,070,401,481/384,201.50
  6. Step 6: Final answer
    x = 991,850.37

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.