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Finding the Third Proportional to 175,862 and 378,390

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Solution

The third proportional to 175,862 and 378,390 is: 814,155.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,862 : 378,390 = 378,390 : x
  2. Step 2: Convert to fraction form
    175,862/378,390 = 378,390/x
  3. Step 3: Cross multiply
    175,862x = 378,390 × 378,390
  4. Step 4: Simplify right side
    175,862x = 143,178,992,100
  5. Step 5: Solve for x
    x = 143,178,992,100/175,862
  6. Step 6: Final answer
    x = 814,155.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.