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Finding the Third Proportional to 174,932 and 378,856

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Solution

The third proportional to 174,932 and 378,856 is: 820,500.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,932 : 378,856 = 378,856 : x
  2. Step 2: Convert to fraction form
    174,932/378,856 = 378,856/x
  3. Step 3: Cross multiply
    174,932x = 378,856 × 378,856
  4. Step 4: Simplify right side
    174,932x = 143,531,868,736
  5. Step 5: Solve for x
    x = 143,531,868,736/174,932
  6. Step 6: Final answer
    x = 820,500.93

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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.