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Finding the Third Proportional to 82,156 and 177,420

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Solution

The third proportional to 82,156 and 177,420 is: 383,147.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,156 : 177,420 = 177,420 : x
  2. Step 2: Convert to fraction form
    82,156/177,420 = 177,420/x
  3. Step 3: Cross multiply
    82,156x = 177,420 × 177,420
  4. Step 4: Simplify right side
    82,156x = 31,477,856,400
  5. Step 5: Solve for x
    x = 31,477,856,400/82,156
  6. Step 6: Final answer
    x = 383,147.38

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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.