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Finding the Third Proportional to 398.63 and 584.81

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Solution

The third proportional to 398.63 and 584.81 is: 857.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.63 : 584.81 = 584.81 : x
  2. Step 2: Convert to fraction form
    398.63/584.81 = 584.81/x
  3. Step 3: Cross multiply
    398.63x = 584.81 × 584.81
  4. Step 4: Simplify right side
    398.63x = 342,005.66
  5. Step 5: Solve for x
    x = 342,005.66/398.63
  6. Step 6: Final answer
    x = 857.96

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.