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Finding the Third Proportional to 437.81 and 584.19

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Solution

The third proportional to 437.81 and 584.19 is: 779.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.81 : 584.19 = 584.19 : x
  2. Step 2: Convert to fraction form
    437.81/584.19 = 584.19/x
  3. Step 3: Cross multiply
    437.81x = 584.19 × 584.19
  4. Step 4: Simplify right side
    437.81x = 341,275.04
  5. Step 5: Solve for x
    x = 341,275.04/437.81
  6. Step 6: Final answer
    x = 779.50

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.