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Finding the Third Proportional to 171,889 and 378,648

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Solution

The third proportional to 171,889 and 378,648 is: 834,109.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,889 : 378,648 = 378,648 : x
  2. Step 2: Convert to fraction form
    171,889/378,648 = 378,648/x
  3. Step 3: Cross multiply
    171,889x = 378,648 × 378,648
  4. Step 4: Simplify right side
    171,889x = 143,374,307,904
  5. Step 5: Solve for x
    x = 143,374,307,904/171,889
  6. Step 6: Final answer
    x = 834,109.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.