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Finding the Third Proportional to 149,416 and 323,720

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Solution

The third proportional to 149,416 and 323,720 is: 701,361.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,416 : 323,720 = 323,720 : x
  2. Step 2: Convert to fraction form
    149,416/323,720 = 323,720/x
  3. Step 3: Cross multiply
    149,416x = 323,720 × 323,720
  4. Step 4: Simplify right side
    149,416x = 104,794,638,400
  5. Step 5: Solve for x
    x = 104,794,638,400/149,416
  6. Step 6: Final answer
    x = 701,361.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.