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Finding the Third Proportional to 150,867 and 323,640

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Solution

The third proportional to 150,867 and 323,640 is: 694,272.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,867 : 323,640 = 323,640 : x
  2. Step 2: Convert to fraction form
    150,867/323,640 = 323,640/x
  3. Step 3: Cross multiply
    150,867x = 323,640 × 323,640
  4. Step 4: Simplify right side
    150,867x = 104,742,849,600
  5. Step 5: Solve for x
    x = 104,742,849,600/150,867
  6. Step 6: Final answer
    x = 694,272.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.