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Finding the Third Proportional to 173,508 and 378,450

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Solution

The third proportional to 173,508 and 378,450 is: 825,462.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,508 : 378,450 = 378,450 : x
  2. Step 2: Convert to fraction form
    173,508/378,450 = 378,450/x
  3. Step 3: Cross multiply
    173,508x = 378,450 × 378,450
  4. Step 4: Simplify right side
    173,508x = 143,224,402,500
  5. Step 5: Solve for x
    x = 143,224,402,500/173,508
  6. Step 6: Final answer
    x = 825,462.82

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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.