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Finding the Third Proportional to 175,315 and 378,667

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Solution

The third proportional to 175,315 and 378,667 is: 817,891.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,315 : 378,667 = 378,667 : x
  2. Step 2: Convert to fraction form
    175,315/378,667 = 378,667/x
  3. Step 3: Cross multiply
    175,315x = 378,667 × 378,667
  4. Step 4: Simplify right side
    175,315x = 143,388,696,889
  5. Step 5: Solve for x
    x = 143,388,696,889/175,315
  6. Step 6: Final answer
    x = 817,891.78

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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.