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Finding the Third Proportional to 173,778 and 378,660

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Solution

The third proportional to 173,778 and 378,660 is: 825,095.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,778 : 378,660 = 378,660 : x
  2. Step 2: Convert to fraction form
    173,778/378,660 = 378,660/x
  3. Step 3: Cross multiply
    173,778x = 378,660 × 378,660
  4. Step 4: Simplify right side
    173,778x = 143,383,395,600
  5. Step 5: Solve for x
    x = 143,383,395,600/173,778
  6. Step 6: Final answer
    x = 825,095.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.