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Finding the Third Proportional to 282,576 and 396,088

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Solution

The third proportional to 282,576 and 396,088 is: 555,198.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,576 : 396,088 = 396,088 : x
  2. Step 2: Convert to fraction form
    282,576/396,088 = 396,088/x
  3. Step 3: Cross multiply
    282,576x = 396,088 × 396,088
  4. Step 4: Simplify right side
    282,576x = 156,885,703,744
  5. Step 5: Solve for x
    x = 156,885,703,744/282,576
  6. Step 6: Final answer
    x = 555,198.26

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.