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Finding the Third Proportional to 404.88 and 619.19

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Solution

The third proportional to 404.88 and 619.19 is: 946.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.88 : 619.19 = 619.19 : x
  2. Step 2: Convert to fraction form
    404.88/619.19 = 619.19/x
  3. Step 3: Cross multiply
    404.88x = 619.19 × 619.19
  4. Step 4: Simplify right side
    404.88x = 383,393.16
  5. Step 5: Solve for x
    x = 383,393.16/404.88
  6. Step 6: Final answer
    x = 946.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.