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Finding the Third Proportional to 332,302 and 728,933

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Solution

The third proportional to 332,302 and 728,933 is: 1,598,977.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,302 : 728,933 = 728,933 : x
  2. Step 2: Convert to fraction form
    332,302/728,933 = 728,933/x
  3. Step 3: Cross multiply
    332,302x = 728,933 × 728,933
  4. Step 4: Simplify right side
    332,302x = 531,343,318,489
  5. Step 5: Solve for x
    x = 531,343,318,489/332,302
  6. Step 6: Final answer
    x = 1,598,977.19

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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.