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Finding the Third Proportional to 391.84 and 573.85

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Solution

The third proportional to 391.84 and 573.85 is: 840.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.84 : 573.85 = 573.85 : x
  2. Step 2: Convert to fraction form
    391.84/573.85 = 573.85/x
  3. Step 3: Cross multiply
    391.84x = 573.85 × 573.85
  4. Step 4: Simplify right side
    391.84x = 329,300.64
  5. Step 5: Solve for x
    x = 329,300.64/391.84
  6. Step 6: Final answer
    x = 840.39

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.