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Finding the Third Proportional to 404.75 and 869.88

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Solution

The third proportional to 404.75 and 869.88 is: 1,869.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.75 : 869.88 = 869.88 : x
  2. Step 2: Convert to fraction form
    404.75/869.88 = 869.88/x
  3. Step 3: Cross multiply
    404.75x = 869.88 × 869.88
  4. Step 4: Simplify right side
    404.75x = 756,682.52
  5. Step 5: Solve for x
    x = 756,682.52/404.75
  6. Step 6: Final answer
    x = 1,869.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.