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Finding the Third Proportional to 332,046 and 733,864

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Solution

The third proportional to 332,046 and 733,864 is: 1,621,933.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,046 : 733,864 = 733,864 : x
  2. Step 2: Convert to fraction form
    332,046/733,864 = 733,864/x
  3. Step 3: Cross multiply
    332,046x = 733,864 × 733,864
  4. Step 4: Simplify right side
    332,046x = 538,556,370,496
  5. Step 5: Solve for x
    x = 538,556,370,496/332,046
  6. Step 6: Final answer
    x = 1,621,933.02

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.