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Finding the Third Proportional to 82,007 and 126,515

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Solution

The third proportional to 82,007 and 126,515 is: 195,179.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,007 : 126,515 = 126,515 : x
  2. Step 2: Convert to fraction form
    82,007/126,515 = 126,515/x
  3. Step 3: Cross multiply
    82,007x = 126,515 × 126,515
  4. Step 4: Simplify right side
    82,007x = 16,006,045,225
  5. Step 5: Solve for x
    x = 16,006,045,225/82,007
  6. Step 6: Final answer
    x = 195,179.01

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.