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Finding the Third Proportional to 397,704 and 863,160

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Solution

The third proportional to 397,704 and 863,160 is: 1,873,366.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,704 : 863,160 = 863,160 : x
  2. Step 2: Convert to fraction form
    397,704/863,160 = 863,160/x
  3. Step 3: Cross multiply
    397,704x = 863,160 × 863,160
  4. Step 4: Simplify right side
    397,704x = 745,045,185,600
  5. Step 5: Solve for x
    x = 745,045,185,600/397,704
  6. Step 6: Final answer
    x = 1,873,366.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.