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Finding the Third Proportional to 332,946 and 733,758

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Solution

The third proportional to 332,946 and 733,758 is: 1,617,081.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,946 : 733,758 = 733,758 : x
  2. Step 2: Convert to fraction form
    332,946/733,758 = 733,758/x
  3. Step 3: Cross multiply
    332,946x = 733,758 × 733,758
  4. Step 4: Simplify right side
    332,946x = 538,400,802,564
  5. Step 5: Solve for x
    x = 538,400,802,564/332,946
  6. Step 6: Final answer
    x = 1,617,081.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.