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Finding the Third Proportional to 38,228 and 81,640

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Solution

The third proportional to 38,228 and 81,640 is: 174,350.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,228 : 81,640 = 81,640 : x
  2. Step 2: Convert to fraction form
    38,228/81,640 = 81,640/x
  3. Step 3: Cross multiply
    38,228x = 81,640 × 81,640
  4. Step 4: Simplify right side
    38,228x = 6,665,089,600
  5. Step 5: Solve for x
    x = 6,665,089,600/38,228
  6. Step 6: Final answer
    x = 174,350.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.