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Finding the Third Proportional to 188.26 and 405.40

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Solution

The third proportional to 188.26 and 405.40 is: 872.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.26 : 405.40 = 405.40 : x
  2. Step 2: Convert to fraction form
    188.26/405.40 = 405.40/x
  3. Step 3: Cross multiply
    188.26x = 405.40 × 405.40
  4. Step 4: Simplify right side
    188.26x = 164,345.52
  5. Step 5: Solve for x
    x = 164,345.52/188.26
  6. Step 6: Final answer
    x = 872.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.