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Finding the Third Proportional to 82,390 and 177,201

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Solution

The third proportional to 82,390 and 177,201 is: 381,116.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,390 : 177,201 = 177,201 : x
  2. Step 2: Convert to fraction form
    82,390/177,201 = 177,201/x
  3. Step 3: Cross multiply
    82,390x = 177,201 × 177,201
  4. Step 4: Simplify right side
    82,390x = 31,400,194,401
  5. Step 5: Solve for x
    x = 31,400,194,401/82,390
  6. Step 6: Final answer
    x = 381,116.57

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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.