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Finding the Third Proportional to 173,544 and 378,912

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Solution

The third proportional to 173,544 and 378,912 is: 827,307.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,544 : 378,912 = 378,912 : x
  2. Step 2: Convert to fraction form
    173,544/378,912 = 378,912/x
  3. Step 3: Cross multiply
    173,544x = 378,912 × 378,912
  4. Step 4: Simplify right side
    173,544x = 143,574,303,744
  5. Step 5: Solve for x
    x = 143,574,303,744/173,544
  6. Step 6: Final answer
    x = 827,307.79

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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.