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Finding the Third Proportional to 177,426 and 378,078.75

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Solution

The third proportional to 177,426 and 378,078.75 is: 805,651.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,426 : 378,078.75 = 378,078.75 : x
  2. Step 2: Convert to fraction form
    177,426/378,078.75 = 378,078.75/x
  3. Step 3: Cross multiply
    177,426x = 378,078.75 × 378,078.75
  4. Step 4: Simplify right side
    177,426x = 142,943,541,201.56
  5. Step 5: Solve for x
    x = 142,943,541,201.56/177,426
  6. Step 6: Final answer
    x = 805,651.60

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.