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Finding the Third Proportional to 81,380 and 190,130

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Solution

The third proportional to 81,380 and 190,130 is: 444,205.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,380 : 190,130 = 190,130 : x
  2. Step 2: Convert to fraction form
    81,380/190,130 = 190,130/x
  3. Step 3: Cross multiply
    81,380x = 190,130 × 190,130
  4. Step 4: Simplify right side
    81,380x = 36,149,416,900
  5. Step 5: Solve for x
    x = 36,149,416,900/81,380
  6. Step 6: Final answer
    x = 444,205.17

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.