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Finding the Third Proportional to 175,638 and 378,925

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Solution

The third proportional to 175,638 and 378,925 is: 817,500.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,638 : 378,925 = 378,925 : x
  2. Step 2: Convert to fraction form
    175,638/378,925 = 378,925/x
  3. Step 3: Cross multiply
    175,638x = 378,925 × 378,925
  4. Step 4: Simplify right side
    175,638x = 143,584,155,625
  5. Step 5: Solve for x
    x = 143,584,155,625/175,638
  6. Step 6: Final answer
    x = 817,500.52

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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.