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Finding the Third Proportional to 485,450 and 728,171

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Solution

The third proportional to 485,450 and 728,171 is: 1,092,250.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,450 : 728,171 = 728,171 : x
  2. Step 2: Convert to fraction form
    485,450/728,171 = 728,171/x
  3. Step 3: Cross multiply
    485,450x = 728,171 × 728,171
  4. Step 4: Simplify right side
    485,450x = 530,233,005,241
  5. Step 5: Solve for x
    x = 530,233,005,241/485,450
  6. Step 6: Final answer
    x = 1,092,250.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.