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Finding the Third Proportional to 82,910 and 177,640

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Solution

The third proportional to 82,910 and 177,640 is: 380,605.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,910 : 177,640 = 177,640 : x
  2. Step 2: Convert to fraction form
    82,910/177,640 = 177,640/x
  3. Step 3: Cross multiply
    82,910x = 177,640 × 177,640
  4. Step 4: Simplify right side
    82,910x = 31,555,969,600
  5. Step 5: Solve for x
    x = 31,555,969,600/82,910
  6. Step 6: Final answer
    x = 380,605.11

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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.