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Finding the Third Proportional to 175,425 and 378,870

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Solution

The third proportional to 175,425 and 378,870 is: 818,255.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,425 : 378,870 = 378,870 : x
  2. Step 2: Convert to fraction form
    175,425/378,870 = 378,870/x
  3. Step 3: Cross multiply
    175,425x = 378,870 × 378,870
  4. Step 4: Simplify right side
    175,425x = 143,542,476,900
  5. Step 5: Solve for x
    x = 143,542,476,900/175,425
  6. Step 6: Final answer
    x = 818,255.53

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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.