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Finding the Third Proportional to 180,910 and 378,326

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Solution

The third proportional to 180,910 and 378,326 is: 791,169.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,910 : 378,326 = 378,326 : x
  2. Step 2: Convert to fraction form
    180,910/378,326 = 378,326/x
  3. Step 3: Cross multiply
    180,910x = 378,326 × 378,326
  4. Step 4: Simplify right side
    180,910x = 143,130,562,276
  5. Step 5: Solve for x
    x = 143,130,562,276/180,910
  6. Step 6: Final answer
    x = 791,169.99

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.