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Finding the Third Proportional to 185.18 and 400.05

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Solution

The third proportional to 185.18 and 400.05 is: 864.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.18 : 400.05 = 400.05 : x
  2. Step 2: Convert to fraction form
    185.18/400.05 = 400.05/x
  3. Step 3: Cross multiply
    185.18x = 400.05 × 400.05
  4. Step 4: Simplify right side
    185.18x = 160,043.75
  5. Step 5: Solve for x
    x = 160,043.75/185.18
  6. Step 6: Final answer
    x = 864.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.