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Finding the Third Proportional to 150,672 and 321,336

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Solution

The third proportional to 150,672 and 321,336 is: 685,308.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,672 : 321,336 = 321,336 : x
  2. Step 2: Convert to fraction form
    150,672/321,336 = 321,336/x
  3. Step 3: Cross multiply
    150,672x = 321,336 × 321,336
  4. Step 4: Simplify right side
    150,672x = 103,256,824,896
  5. Step 5: Solve for x
    x = 103,256,824,896/150,672
  6. Step 6: Final answer
    x = 685,308.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.