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Finding the Third Proportional to 185.77 and 405.14

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Solution

The third proportional to 185.77 and 405.14 is: 883.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.77 : 405.14 = 405.14 : x
  2. Step 2: Convert to fraction form
    185.77/405.14 = 405.14/x
  3. Step 3: Cross multiply
    185.77x = 405.14 × 405.14
  4. Step 4: Simplify right side
    185.77x = 164,138.93
  5. Step 5: Solve for x
    x = 164,138.93/185.77
  6. Step 6: Final answer
    x = 883.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.