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Finding the Third Proportional to 184.15 and 387.21

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Solution

The third proportional to 184.15 and 387.21 is: 814.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.15 : 387.21 = 387.21 : x
  2. Step 2: Convert to fraction form
    184.15/387.21 = 387.21/x
  3. Step 3: Cross multiply
    184.15x = 387.21 × 387.21
  4. Step 4: Simplify right side
    184.15x = 149,932.31
  5. Step 5: Solve for x
    x = 149,932.31/184.15
  6. Step 6: Final answer
    x = 814.19

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.