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Finding the Third Proportional to 404.91 and 849.19

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Solution

The third proportional to 404.91 and 849.19 is: 1,780.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.91 : 849.19 = 849.19 : x
  2. Step 2: Convert to fraction form
    404.91/849.19 = 849.19/x
  3. Step 3: Cross multiply
    404.91x = 849.19 × 849.19
  4. Step 4: Simplify right side
    404.91x = 721,119.41
  5. Step 5: Solve for x
    x = 721,119.41/404.91
  6. Step 6: Final answer
    x = 1,780.95

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.