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Finding the Third Proportional to 174,912 and 378,816

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Solution

The third proportional to 174,912 and 378,816 is: 820,421.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,912 : 378,816 = 378,816 : x
  2. Step 2: Convert to fraction form
    174,912/378,816 = 378,816/x
  3. Step 3: Cross multiply
    174,912x = 378,816 × 378,816
  4. Step 4: Simplify right side
    174,912x = 143,501,561,856
  5. Step 5: Solve for x
    x = 143,501,561,856/174,912
  6. Step 6: Final answer
    x = 820,421.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.