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Finding the Third Proportional to 404.50 and 839

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Solution

The third proportional to 404.50 and 839 is: 1,740.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.50 : 839 = 839 : x
  2. Step 2: Convert to fraction form
    404.50/839 = 839/x
  3. Step 3: Cross multiply
    404.50x = 839 × 839
  4. Step 4: Simplify right side
    404.50x = 703,921
  5. Step 5: Solve for x
    x = 703,921/404.50
  6. Step 6: Final answer
    x = 1,740.22

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.