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Finding the Third Proportional to 149,964 and 324,408

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Solution

The third proportional to 149,964 and 324,408 is: 701,772.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,964 : 324,408 = 324,408 : x
  2. Step 2: Convert to fraction form
    149,964/324,408 = 324,408/x
  3. Step 3: Cross multiply
    149,964x = 324,408 × 324,408
  4. Step 4: Simplify right side
    149,964x = 105,240,550,464
  5. Step 5: Solve for x
    x = 105,240,550,464/149,964
  6. Step 6: Final answer
    x = 701,772.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.