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Finding the Third Proportional to 332,990 and 728,148

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Solution

The third proportional to 332,990 and 728,148 is: 1,592,238.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,990 : 728,148 = 728,148 : x
  2. Step 2: Convert to fraction form
    332,990/728,148 = 728,148/x
  3. Step 3: Cross multiply
    332,990x = 728,148 × 728,148
  4. Step 4: Simplify right side
    332,990x = 530,199,509,904
  5. Step 5: Solve for x
    x = 530,199,509,904/332,990
  6. Step 6: Final answer
    x = 1,592,238.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.