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Finding the Third Proportional to 183.80 and 386.93

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Solution

The third proportional to 183.80 and 386.93 is: 814.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.80 : 386.93 = 386.93 : x
  2. Step 2: Convert to fraction form
    183.80/386.93 = 386.93/x
  3. Step 3: Cross multiply
    183.80x = 386.93 × 386.93
  4. Step 4: Simplify right side
    183.80x = 149,714.58
  5. Step 5: Solve for x
    x = 149,714.58/183.80
  6. Step 6: Final answer
    x = 814.57

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.