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Finding the Third Proportional to 397,176 and 864,240

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Solution

The third proportional to 397,176 and 864,240 is: 1,880,553.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,176 : 864,240 = 864,240 : x
  2. Step 2: Convert to fraction form
    397,176/864,240 = 864,240/x
  3. Step 3: Cross multiply
    397,176x = 864,240 × 864,240
  4. Step 4: Simplify right side
    397,176x = 746,910,777,600
  5. Step 5: Solve for x
    x = 746,910,777,600/397,176
  6. Step 6: Final answer
    x = 1,880,553.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.