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Finding the Third Proportional to 180,810 and 378,144

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Solution

The third proportional to 180,810 and 378,144 is: 790,846.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,810 : 378,144 = 378,144 : x
  2. Step 2: Convert to fraction form
    180,810/378,144 = 378,144/x
  3. Step 3: Cross multiply
    180,810x = 378,144 × 378,144
  4. Step 4: Simplify right side
    180,810x = 142,992,884,736
  5. Step 5: Solve for x
    x = 142,992,884,736/180,810
  6. Step 6: Final answer
    x = 790,846.11

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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.