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Finding the Third Proportional to 147,638 and 325,408

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Solution

The third proportional to 147,638 and 325,408 is: 717,229.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,638 : 325,408 = 325,408 : x
  2. Step 2: Convert to fraction form
    147,638/325,408 = 325,408/x
  3. Step 3: Cross multiply
    147,638x = 325,408 × 325,408
  4. Step 4: Simplify right side
    147,638x = 105,890,366,464
  5. Step 5: Solve for x
    x = 105,890,366,464/147,638
  6. Step 6: Final answer
    x = 717,229.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.