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Finding the Third Proportional to 82,148 and 177,405

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Solution

The third proportional to 82,148 and 177,405 is: 383,119.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,148 : 177,405 = 177,405 : x
  2. Step 2: Convert to fraction form
    82,148/177,405 = 177,405/x
  3. Step 3: Cross multiply
    82,148x = 177,405 × 177,405
  4. Step 4: Simplify right side
    82,148x = 31,472,534,025
  5. Step 5: Solve for x
    x = 31,472,534,025/82,148
  6. Step 6: Final answer
    x = 383,119.91

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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.