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Finding the Third Proportional to 173,548 and 378,920

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Solution

The third proportional to 173,548 and 378,920 is: 827,323.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,548 : 378,920 = 378,920 : x
  2. Step 2: Convert to fraction form
    173,548/378,920 = 378,920/x
  3. Step 3: Cross multiply
    173,548x = 378,920 × 378,920
  4. Step 4: Simplify right side
    173,548x = 143,580,366,400
  5. Step 5: Solve for x
    x = 143,580,366,400/173,548
  6. Step 6: Final answer
    x = 827,323.66

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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.