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Finding the Third Proportional to 173,430 and 378,372

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Solution

The third proportional to 173,430 and 378,372 is: 825,493.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,430 : 378,372 = 378,372 : x
  2. Step 2: Convert to fraction form
    173,430/378,372 = 378,372/x
  3. Step 3: Cross multiply
    173,430x = 378,372 × 378,372
  4. Step 4: Simplify right side
    173,430x = 143,165,370,384
  5. Step 5: Solve for x
    x = 143,165,370,384/173,430
  6. Step 6: Final answer
    x = 825,493.69

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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.